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Finding the Fourth Proportional to 5,156.52, 7,734.36 and 1,458.66

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Solution

The fourth proportional to 5,156.52, 7,734.36 and 1,458.66 is: 2,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.52 : 7,734.36 = 1,458.66 : x
  2. Step 2: Convert to fraction form
    5,156.52/7,734.36 = 1,458.66/x
  3. Step 3: Cross multiply
    5,156.52x = 7,734.36 × 1,458.66
  4. Step 4: Simplify right side
    5,156.52x = 11,281,801.56
  5. Step 5: Solve for x
    x = 11,281,801.56/5,156.52
  6. Step 6: Final answer
    x = 2,187.87

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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.