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Finding the Fourth Proportional to 11,729.78, 17,582.48 and 7,337.14

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Solution

The fourth proportional to 11,729.78, 17,582.48 and 7,337.14 is: 10,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.78 : 17,582.48 = 7,337.14 : x
  2. Step 2: Convert to fraction form
    11,729.78/17,582.48 = 7,337.14/x
  3. Step 3: Cross multiply
    11,729.78x = 17,582.48 × 7,337.14
  4. Step 4: Simplify right side
    11,729.78x = 129,005,117.31
  5. Step 5: Solve for x
    x = 129,005,117.31/11,729.78
  6. Step 6: Final answer
    x = 10,998.08

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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.