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Finding the Fourth Proportional to 12,251.76, 16,916.96 and 9,414.64

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Solution

The fourth proportional to 12,251.76, 16,916.96 and 9,414.64 is: 12,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.76 : 16,916.96 = 9,414.64 : x
  2. Step 2: Convert to fraction form
    12,251.76/16,916.96 = 9,414.64/x
  3. Step 3: Cross multiply
    12,251.76x = 16,916.96 × 9,414.64
  4. Step 4: Simplify right side
    12,251.76x = 159,267,088.29
  5. Step 5: Solve for x
    x = 159,267,088.29/12,251.76
  6. Step 6: Final answer
    x = 12,999.53

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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.