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Finding the Fourth Proportional to 21,680, 32,520 and 9,376.64

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Solution

The fourth proportional to 21,680, 32,520 and 9,376.64 is: 14,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680 : 32,520 = 9,376.64 : x
  2. Step 2: Convert to fraction form
    21,680/32,520 = 9,376.64/x
  3. Step 3: Cross multiply
    21,680x = 32,520 × 9,376.64
  4. Step 4: Simplify right side
    21,680x = 304,928,332.80
  5. Step 5: Solve for x
    x = 304,928,332.80/21,680
  6. Step 6: Final answer
    x = 14,064.96

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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.