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Finding the Fourth Proportional to 6,488.13, 8,957.90 and 4,993.41

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Solution

The fourth proportional to 6,488.13, 8,957.90 and 4,993.41 is: 6,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.13 : 8,957.90 = 4,993.41 : x
  2. Step 2: Convert to fraction form
    6,488.13/8,957.90 = 4,993.41/x
  3. Step 3: Cross multiply
    6,488.13x = 8,957.90 × 4,993.41
  4. Step 4: Simplify right side
    6,488.13x = 44,730,442.47
  5. Step 5: Solve for x
    x = 44,730,442.47/6,488.13
  6. Step 6: Final answer
    x = 6,894.20

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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.