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Finding the Fourth Proportional to 5,156.70, 7,739.70 and 5,147.52

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Solution

The fourth proportional to 5,156.70, 7,739.70 and 5,147.52 is: 7,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.70 : 7,739.70 = 5,147.52 : x
  2. Step 2: Convert to fraction form
    5,156.70/7,739.70 = 5,147.52/x
  3. Step 3: Cross multiply
    5,156.70x = 7,739.70 × 5,147.52
  4. Step 4: Simplify right side
    5,156.70x = 39,840,260.54
  5. Step 5: Solve for x
    x = 39,840,260.54/5,156.70
  6. Step 6: Final answer
    x = 7,725.92

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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.