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Finding the Fourth Proportional to 10,978.75, 16,468.17 and 2,658.75

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Solution

The fourth proportional to 10,978.75, 16,468.17 and 2,658.75 is: 3,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.75 : 16,468.17 = 2,658.75 : x
  2. Step 2: Convert to fraction form
    10,978.75/16,468.17 = 2,658.75/x
  3. Step 3: Cross multiply
    10,978.75x = 16,468.17 × 2,658.75
  4. Step 4: Simplify right side
    10,978.75x = 43,784,733.69
  5. Step 5: Solve for x
    x = 43,784,733.69/10,978.75
  6. Step 6: Final answer
    x = 3,988.13

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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.