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Finding the Fourth Proportional to 5,156.55, 7,734.86 and 1,260.95

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Solution

The fourth proportional to 5,156.55, 7,734.86 and 1,260.95 is: 1,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.55 : 7,734.86 = 1,260.95 : x
  2. Step 2: Convert to fraction form
    5,156.55/7,734.86 = 1,260.95/x
  3. Step 3: Cross multiply
    5,156.55x = 7,734.86 × 1,260.95
  4. Step 4: Simplify right side
    5,156.55x = 9,753,226.74
  5. Step 5: Solve for x
    x = 9,753,226.74/5,156.55
  6. Step 6: Final answer
    x = 1,891.42

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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.