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Finding the Fourth Proportional to 5,258.70, 7,876.44 and 3,945.24

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Solution

The fourth proportional to 5,258.70, 7,876.44 and 3,945.24 is: 5,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.70 : 7,876.44 = 3,945.24 : x
  2. Step 2: Convert to fraction form
    5,258.70/7,876.44 = 3,945.24/x
  3. Step 3: Cross multiply
    5,258.70x = 7,876.44 × 3,945.24
  4. Step 4: Simplify right side
    5,258.70x = 31,074,446.15
  5. Step 5: Solve for x
    x = 31,074,446.15/5,258.70
  6. Step 6: Final answer
    x = 5,909.15

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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.