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Finding the Fourth Proportional to 5,148.97, 7,711.07 and 4,890.58

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Solution

The fourth proportional to 5,148.97, 7,711.07 and 4,890.58 is: 7,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.97 : 7,711.07 = 4,890.58 : x
  2. Step 2: Convert to fraction form
    5,148.97/7,711.07 = 4,890.58/x
  3. Step 3: Cross multiply
    5,148.97x = 7,711.07 × 4,890.58
  4. Step 4: Simplify right side
    5,148.97x = 37,711,560.99
  5. Step 5: Solve for x
    x = 37,711,560.99/5,148.97
  6. Step 6: Final answer
    x = 7,324.10

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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.