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Finding the Fourth Proportional to 7,147.54, 9,876.63 and 5,474.62

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Solution

The fourth proportional to 7,147.54, 9,876.63 and 5,474.62 is: 7,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.54 : 9,876.63 = 5,474.62 : x
  2. Step 2: Convert to fraction form
    7,147.54/9,876.63 = 5,474.62/x
  3. Step 3: Cross multiply
    7,147.54x = 9,876.63 × 5,474.62
  4. Step 4: Simplify right side
    7,147.54x = 54,070,796.13
  5. Step 5: Solve for x
    x = 54,070,796.13/7,147.54
  6. Step 6: Final answer
    x = 7,564.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.