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Finding the Fourth Proportional to 11,147.60, 16,702.20 and 5,291.60

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Solution

The fourth proportional to 11,147.60, 16,702.20 and 5,291.60 is: 7,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.60 : 16,702.20 = 5,291.60 : x
  2. Step 2: Convert to fraction form
    11,147.60/16,702.20 = 5,291.60/x
  3. Step 3: Cross multiply
    11,147.60x = 16,702.20 × 5,291.60
  4. Step 4: Simplify right side
    11,147.60x = 88,381,361.52
  5. Step 5: Solve for x
    x = 88,381,361.52/11,147.60
  6. Step 6: Final answer
    x = 7,928.29

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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.