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Finding the Fourth Proportional to 2,064.06, 3,096.09 and 909

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Solution

The fourth proportional to 2,064.06, 3,096.09 and 909 is: 1,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.06 : 3,096.09 = 909 : x
  2. Step 2: Convert to fraction form
    2,064.06/3,096.09 = 909/x
  3. Step 3: Cross multiply
    2,064.06x = 3,096.09 × 909
  4. Step 4: Simplify right side
    2,064.06x = 2,814,345.81
  5. Step 5: Solve for x
    x = 2,814,345.81/2,064.06
  6. Step 6: Final answer
    x = 1,363.50

Related Problems

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Double scale
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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.