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Finding the Fourth Proportional to 21,681.64, 32,505.18 and 9,361

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Solution

The fourth proportional to 21,681.64, 32,505.18 and 9,361 is: 14,034.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.64 : 32,505.18 = 9,361 : x
  2. Step 2: Convert to fraction form
    21,681.64/32,505.18 = 9,361/x
  3. Step 3: Cross multiply
    21,681.64x = 32,505.18 × 9,361
  4. Step 4: Simplify right side
    21,681.64x = 304,280,989.98
  5. Step 5: Solve for x
    x = 304,280,989.98/21,681.64
  6. Step 6: Final answer
    x = 14,034.04

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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.