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Finding the Fourth Proportional to 5,654.32, 8,480.02 and 2,532.56

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Solution

The fourth proportional to 5,654.32, 8,480.02 and 2,532.56 is: 3,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.32 : 8,480.02 = 2,532.56 : x
  2. Step 2: Convert to fraction form
    5,654.32/8,480.02 = 2,532.56/x
  3. Step 3: Cross multiply
    5,654.32x = 8,480.02 × 2,532.56
  4. Step 4: Simplify right side
    5,654.32x = 21,476,159.45
  5. Step 5: Solve for x
    x = 21,476,159.45/5,654.32
  6. Step 6: Final answer
    x = 3,798.19

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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.