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Finding the Fourth Proportional to 7,862.62, 10,847.28 and 5,029.34

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Solution

The fourth proportional to 7,862.62, 10,847.28 and 5,029.34 is: 6,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.62 : 10,847.28 = 5,029.34 : x
  2. Step 2: Convert to fraction form
    7,862.62/10,847.28 = 5,029.34/x
  3. Step 3: Cross multiply
    7,862.62x = 10,847.28 × 5,029.34
  4. Step 4: Simplify right side
    7,862.62x = 54,554,659.20
  5. Step 5: Solve for x
    x = 54,554,659.20/7,862.62
  6. Step 6: Final answer
    x = 6,938.48

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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.