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Finding the Fourth Proportional to 5,620.88, 7,752.42 and 3,631.64

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Solution

The fourth proportional to 5,620.88, 7,752.42 and 3,631.64 is: 5,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.88 : 7,752.42 = 3,631.64 : x
  2. Step 2: Convert to fraction form
    5,620.88/7,752.42 = 3,631.64/x
  3. Step 3: Cross multiply
    5,620.88x = 7,752.42 × 3,631.64
  4. Step 4: Simplify right side
    5,620.88x = 28,153,998.57
  5. Step 5: Solve for x
    x = 28,153,998.57/5,620.88
  6. Step 6: Final answer
    x = 5,008.82

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Why These Related Problems?

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