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Finding the Fourth Proportional to 2,291.64, 3,437.43 and 731.62

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Solution

The fourth proportional to 2,291.64, 3,437.43 and 731.62 is: 1,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.64 : 3,437.43 = 731.62 : x
  2. Step 2: Convert to fraction form
    2,291.64/3,437.43 = 731.62/x
  3. Step 3: Cross multiply
    2,291.64x = 3,437.43 × 731.62
  4. Step 4: Simplify right side
    2,291.64x = 2,514,897.14
  5. Step 5: Solve for x
    x = 2,514,897.14/2,291.64
  6. Step 6: Final answer
    x = 1,097.42

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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.