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Finding the Fourth Proportional to 19,957.97, 29,920.72 and 7,471

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Solution

The fourth proportional to 19,957.97, 29,920.72 and 7,471 is: 11,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.97 : 29,920.72 = 7,471 : x
  2. Step 2: Convert to fraction form
    19,957.97/29,920.72 = 7,471/x
  3. Step 3: Cross multiply
    19,957.97x = 29,920.72 × 7,471
  4. Step 4: Simplify right side
    19,957.97x = 223,537,699.12
  5. Step 5: Solve for x
    x = 223,537,699.12/19,957.97
  6. Step 6: Final answer
    x = 11,200.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.