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Finding the Fourth Proportional to 11,292.70, 15,613.64 and 9,891.42

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Solution

The fourth proportional to 11,292.70, 15,613.64 and 9,891.42 is: 13,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.70 : 15,613.64 = 9,891.42 : x
  2. Step 2: Convert to fraction form
    11,292.70/15,613.64 = 9,891.42/x
  3. Step 3: Cross multiply
    11,292.70x = 15,613.64 × 9,891.42
  4. Step 4: Simplify right side
    11,292.70x = 154,441,070.97
  5. Step 5: Solve for x
    x = 154,441,070.97/11,292.70
  6. Step 6: Final answer
    x = 13,676.19

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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.