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Finding the Fourth Proportional to 20,972.76, 31,437.09 and 9,283.20

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Solution

The fourth proportional to 20,972.76, 31,437.09 and 9,283.20 is: 13,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.76 : 31,437.09 = 9,283.20 : x
  2. Step 2: Convert to fraction form
    20,972.76/31,437.09 = 9,283.20/x
  3. Step 3: Cross multiply
    20,972.76x = 31,437.09 × 9,283.20
  4. Step 4: Simplify right side
    20,972.76x = 291,836,793.89
  5. Step 5: Solve for x
    x = 291,836,793.89/20,972.76
  6. Step 6: Final answer
    x = 13,915.04

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1.5x scale

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.