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Finding the Fourth Proportional to 22,635.60, 31,237 and 12,563.76

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Solution

The fourth proportional to 22,635.60, 31,237 and 12,563.76 is: 17,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.60 : 31,237 = 12,563.76 : x
  2. Step 2: Convert to fraction form
    22,635.60/31,237 = 12,563.76/x
  3. Step 3: Cross multiply
    22,635.60x = 31,237 × 12,563.76
  4. Step 4: Simplify right side
    22,635.60x = 392,454,171.12
  5. Step 5: Solve for x
    x = 392,454,171.12/22,635.60
  6. Step 6: Final answer
    x = 17,337.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.