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Finding the Fourth Proportional to 1,386.24, 1,912.92 and 796.68

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Solution

The fourth proportional to 1,386.24, 1,912.92 and 796.68 is: 1,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.24 : 1,912.92 = 796.68 : x
  2. Step 2: Convert to fraction form
    1,386.24/1,912.92 = 796.68/x
  3. Step 3: Cross multiply
    1,386.24x = 1,912.92 × 796.68
  4. Step 4: Simplify right side
    1,386.24x = 1,523,985.11
  5. Step 5: Solve for x
    x = 1,523,985.11/1,386.24
  6. Step 6: Final answer
    x = 1,099.37

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.