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Finding the Fourth Proportional to 2,146.04, 3,219.73 and 912.81

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Solution

The fourth proportional to 2,146.04, 3,219.73 and 912.81 is: 1,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.04 : 3,219.73 = 912.81 : x
  2. Step 2: Convert to fraction form
    2,146.04/3,219.73 = 912.81/x
  3. Step 3: Cross multiply
    2,146.04x = 3,219.73 × 912.81
  4. Step 4: Simplify right side
    2,146.04x = 2,938,999.46
  5. Step 5: Solve for x
    x = 2,938,999.46/2,146.04
  6. Step 6: Final answer
    x = 1,369.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,147.04, 3,221.23 and 913.81
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.