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Finding the Fourth Proportional to 22,772, 31,431.12 and 12,841.76

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Solution

The fourth proportional to 22,772, 31,431.12 and 12,841.76 is: 17,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772 : 31,431.12 = 12,841.76 : x
  2. Step 2: Convert to fraction form
    22,772/31,431.12 = 12,841.76/x
  3. Step 3: Cross multiply
    22,772x = 31,431.12 × 12,841.76
  4. Step 4: Simplify right side
    22,772x = 403,630,899.57
  5. Step 5: Solve for x
    x = 403,630,899.57/22,772
  6. Step 6: Final answer
    x = 17,724.88

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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.