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Finding the Fourth Proportional to 19,874, 29,765.64 and 9,493.04

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Solution

The fourth proportional to 19,874, 29,765.64 and 9,493.04 is: 14,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874 : 29,765.64 = 9,493.04 : x
  2. Step 2: Convert to fraction form
    19,874/29,765.64 = 9,493.04/x
  3. Step 3: Cross multiply
    19,874x = 29,765.64 × 9,493.04
  4. Step 4: Simplify right side
    19,874x = 282,566,411.15
  5. Step 5: Solve for x
    x = 282,566,411.15/19,874
  6. Step 6: Final answer
    x = 14,217.89

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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.