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Finding the Fourth Proportional to 10,978.11, 15,146.05 and 6,197.49

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Solution

The fourth proportional to 10,978.11, 15,146.05 and 6,197.49 is: 8,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.11 : 15,146.05 = 6,197.49 : x
  2. Step 2: Convert to fraction form
    10,978.11/15,146.05 = 6,197.49/x
  3. Step 3: Cross multiply
    10,978.11x = 15,146.05 × 6,197.49
  4. Step 4: Simplify right side
    10,978.11x = 93,867,417.68
  5. Step 5: Solve for x
    x = 93,867,417.68/10,978.11
  6. Step 6: Final answer
    x = 8,550.42

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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.