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Finding the Fourth Proportional to 13,588.60, 20,382.78 and 4,354.60

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Solution

The fourth proportional to 13,588.60, 20,382.78 and 4,354.60 is: 6,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.60 : 20,382.78 = 4,354.60 : x
  2. Step 2: Convert to fraction form
    13,588.60/20,382.78 = 4,354.60/x
  3. Step 3: Cross multiply
    13,588.60x = 20,382.78 × 4,354.60
  4. Step 4: Simplify right side
    13,588.60x = 88,758,853.79
  5. Step 5: Solve for x
    x = 88,758,853.79/13,588.60
  6. Step 6: Final answer
    x = 6,531.86

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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.