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Finding the Fourth Proportional to 11,469.72, 15,834.80 and 8,776

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Solution

The fourth proportional to 11,469.72, 15,834.80 and 8,776 is: 12,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.72 : 15,834.80 = 8,776 : x
  2. Step 2: Convert to fraction form
    11,469.72/15,834.80 = 8,776/x
  3. Step 3: Cross multiply
    11,469.72x = 15,834.80 × 8,776
  4. Step 4: Simplify right side
    11,469.72x = 138,966,204.80
  5. Step 5: Solve for x
    x = 138,966,204.80/11,469.72
  6. Step 6: Final answer
    x = 12,115.92

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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.