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Finding the Fourth Proportional to 5,691, 8,539.20 and 3,605.16

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Solution

The fourth proportional to 5,691, 8,539.20 and 3,605.16 is: 5,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691 : 8,539.20 = 3,605.16 : x
  2. Step 2: Convert to fraction form
    5,691/8,539.20 = 3,605.16/x
  3. Step 3: Cross multiply
    5,691x = 8,539.20 × 3,605.16
  4. Step 4: Simplify right side
    5,691x = 30,785,182.27
  5. Step 5: Solve for x
    x = 30,785,182.27/5,691
  6. Step 6: Final answer
    x = 5,409.45

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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.