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Finding the Fourth Proportional to 19,761.60, 29,639.84 and 7,448

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Solution

The fourth proportional to 19,761.60, 29,639.84 and 7,448 is: 11,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.60 : 29,639.84 = 7,448 : x
  2. Step 2: Convert to fraction form
    19,761.60/29,639.84 = 7,448/x
  3. Step 3: Cross multiply
    19,761.60x = 29,639.84 × 7,448
  4. Step 4: Simplify right side
    19,761.60x = 220,757,528.32
  5. Step 5: Solve for x
    x = 220,757,528.32/19,761.60
  6. Step 6: Final answer
    x = 11,171.04

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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.