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Finding the Fourth Proportional to 10,978.20, 16,467.30 and 7,284.60

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Solution

The fourth proportional to 10,978.20, 16,467.30 and 7,284.60 is: 10,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.20 : 16,467.30 = 7,284.60 : x
  2. Step 2: Convert to fraction form
    10,978.20/16,467.30 = 7,284.60/x
  3. Step 3: Cross multiply
    10,978.20x = 16,467.30 × 7,284.60
  4. Step 4: Simplify right side
    10,978.20x = 119,957,693.58
  5. Step 5: Solve for x
    x = 119,957,693.58/10,978.20
  6. Step 6: Final answer
    x = 10,926.90

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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.