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Finding the Fourth Proportional to 13,342.68, 20,007.18 and 7,797.24

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Solution

The fourth proportional to 13,342.68, 20,007.18 and 7,797.24 is: 11,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342.68 : 20,007.18 = 7,797.24 : x
  2. Step 2: Convert to fraction form
    13,342.68/20,007.18 = 7,797.24/x
  3. Step 3: Cross multiply
    13,342.68x = 20,007.18 × 7,797.24
  4. Step 4: Simplify right side
    13,342.68x = 156,000,784.18
  5. Step 5: Solve for x
    x = 156,000,784.18/13,342.68
  6. Step 6: Final answer
    x = 11,691.86

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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.