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Finding the Fourth Proportional to 5,287.97, 7,926.67 and 3,534.45

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Solution

The fourth proportional to 5,287.97, 7,926.67 and 3,534.45 is: 5,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.97 : 7,926.67 = 3,534.45 : x
  2. Step 2: Convert to fraction form
    5,287.97/7,926.67 = 3,534.45/x
  3. Step 3: Cross multiply
    5,287.97x = 7,926.67 × 3,534.45
  4. Step 4: Simplify right side
    5,287.97x = 28,016,418.78
  5. Step 5: Solve for x
    x = 28,016,418.78/5,287.97
  6. Step 6: Final answer
    x = 5,298.14

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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.