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Finding the Fourth Proportional to 11,891.52, 16,416 and 8,357.76

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Solution

The fourth proportional to 11,891.52, 16,416 and 8,357.76 is: 11,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.52 : 16,416 = 8,357.76 : x
  2. Step 2: Convert to fraction form
    11,891.52/16,416 = 8,357.76/x
  3. Step 3: Cross multiply
    11,891.52x = 16,416 × 8,357.76
  4. Step 4: Simplify right side
    11,891.52x = 137,200,988.16
  5. Step 5: Solve for x
    x = 137,200,988.16/11,891.52
  6. Step 6: Final answer
    x = 11,537.72

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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.