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Finding the Fourth Proportional to 10,978.60, 16,468.08 and 7,696.84

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Solution

The fourth proportional to 10,978.60, 16,468.08 and 7,696.84 is: 11,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.60 : 16,468.08 = 7,696.84 : x
  2. Step 2: Convert to fraction form
    10,978.60/16,468.08 = 7,696.84/x
  3. Step 3: Cross multiply
    10,978.60x = 16,468.08 × 7,696.84
  4. Step 4: Simplify right side
    10,978.60x = 126,752,176.87
  5. Step 5: Solve for x
    x = 126,752,176.87/10,978.60
  6. Step 6: Final answer
    x = 11,545.39

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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.