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Finding the Fourth Proportional to 5,432.82, 7,488.54 and 3,661.32

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Solution

The fourth proportional to 5,432.82, 7,488.54 and 3,661.32 is: 5,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.82 : 7,488.54 = 3,661.32 : x
  2. Step 2: Convert to fraction form
    5,432.82/7,488.54 = 3,661.32/x
  3. Step 3: Cross multiply
    5,432.82x = 7,488.54 × 3,661.32
  4. Step 4: Simplify right side
    5,432.82x = 27,417,941.27
  5. Step 5: Solve for x
    x = 27,417,941.27/5,432.82
  6. Step 6: Final answer
    x = 5,046.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.