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Finding the Fourth Proportional to 5,584.32, 8,372.88 and 1,687.68

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Solution

The fourth proportional to 5,584.32, 8,372.88 and 1,687.68 is: 2,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.32 : 8,372.88 = 1,687.68 : x
  2. Step 2: Convert to fraction form
    5,584.32/8,372.88 = 1,687.68/x
  3. Step 3: Cross multiply
    5,584.32x = 8,372.88 × 1,687.68
  4. Step 4: Simplify right side
    5,584.32x = 14,130,742.12
  5. Step 5: Solve for x
    x = 14,130,742.12/5,584.32
  6. Step 6: Final answer
    x = 2,530.43

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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.