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Finding the Fourth Proportional to 5,292.74, 7,869.84 and 5,071.29

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Solution

The fourth proportional to 5,292.74, 7,869.84 and 5,071.29 is: 7,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.74 : 7,869.84 = 5,071.29 : x
  2. Step 2: Convert to fraction form
    5,292.74/7,869.84 = 5,071.29/x
  3. Step 3: Cross multiply
    5,292.74x = 7,869.84 × 5,071.29
  4. Step 4: Simplify right side
    5,292.74x = 39,910,240.89
  5. Step 5: Solve for x
    x = 39,910,240.89/5,292.74
  6. Step 6: Final answer
    x = 7,540.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.