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Finding the Fourth Proportional to 20,522.89, 30,772.05 and 9,972.15

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Solution

The fourth proportional to 20,522.89, 30,772.05 and 9,972.15 is: 14,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.89 : 30,772.05 = 9,972.15 : x
  2. Step 2: Convert to fraction form
    20,522.89/30,772.05 = 9,972.15/x
  3. Step 3: Cross multiply
    20,522.89x = 30,772.05 × 9,972.15
  4. Step 4: Simplify right side
    20,522.89x = 306,863,498.41
  5. Step 5: Solve for x
    x = 306,863,498.41/20,522.89
  6. Step 6: Final answer
    x = 14,952.26

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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.