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Finding the Fourth Proportional to 21,681, 32,534.52 and 9,369

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Solution

The fourth proportional to 21,681, 32,534.52 and 9,369 is: 14,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681 : 32,534.52 = 9,369 : x
  2. Step 2: Convert to fraction form
    21,681/32,534.52 = 9,369/x
  3. Step 3: Cross multiply
    21,681x = 32,534.52 × 9,369
  4. Step 4: Simplify right side
    21,681x = 304,815,917.88
  5. Step 5: Solve for x
    x = 304,815,917.88/21,681
  6. Step 6: Final answer
    x = 14,059.13

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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.