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Finding the Fourth Proportional to 19,685.28, 29,520.72 and 7,201.20

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Solution

The fourth proportional to 19,685.28, 29,520.72 and 7,201.20 is: 10,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.28 : 29,520.72 = 7,201.20 : x
  2. Step 2: Convert to fraction form
    19,685.28/29,520.72 = 7,201.20/x
  3. Step 3: Cross multiply
    19,685.28x = 29,520.72 × 7,201.20
  4. Step 4: Simplify right side
    19,685.28x = 212,584,608.86
  5. Step 5: Solve for x
    x = 212,584,608.86/19,685.28
  6. Step 6: Final answer
    x = 10,799.17

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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.