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Finding the Fourth Proportional to 5,134.66, 7,702.41 and 1,436.88

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Solution

The fourth proportional to 5,134.66, 7,702.41 and 1,436.88 is: 2,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.66 : 7,702.41 = 1,436.88 : x
  2. Step 2: Convert to fraction form
    5,134.66/7,702.41 = 1,436.88/x
  3. Step 3: Cross multiply
    5,134.66x = 7,702.41 × 1,436.88
  4. Step 4: Simplify right side
    5,134.66x = 11,067,449.47
  5. Step 5: Solve for x
    x = 11,067,449.47/5,134.66
  6. Step 6: Final answer
    x = 2,155.44

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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.