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Finding the Fourth Proportional to 21,680.64, 32,503.68 and 9,360

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Solution

The fourth proportional to 21,680.64, 32,503.68 and 9,360 is: 14,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680.64 : 32,503.68 = 9,360 : x
  2. Step 2: Convert to fraction form
    21,680.64/32,503.68 = 9,360/x
  3. Step 3: Cross multiply
    21,680.64x = 32,503.68 × 9,360
  4. Step 4: Simplify right side
    21,680.64x = 304,234,444.80
  5. Step 5: Solve for x
    x = 304,234,444.80/21,680.64
  6. Step 6: Final answer
    x = 14,032.54

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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.