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Finding the Fourth Proportional to 10,875.91, 16,322.10 and 7,961.71

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Solution

The fourth proportional to 10,875.91, 16,322.10 and 7,961.71 is: 11,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.91 : 16,322.10 = 7,961.71 : x
  2. Step 2: Convert to fraction form
    10,875.91/16,322.10 = 7,961.71/x
  3. Step 3: Cross multiply
    10,875.91x = 16,322.10 × 7,961.71
  4. Step 4: Simplify right side
    10,875.91x = 129,951,826.79
  5. Step 5: Solve for x
    x = 129,951,826.79/10,875.91
  6. Step 6: Final answer
    x = 11,948.59

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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.