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Finding the Fourth Proportional to 14,978.52, 22,449.84 and 6,649.12

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Solution

The fourth proportional to 14,978.52, 22,449.84 and 6,649.12 is: 9,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.52 : 22,449.84 = 6,649.12 : x
  2. Step 2: Convert to fraction form
    14,978.52/22,449.84 = 6,649.12/x
  3. Step 3: Cross multiply
    14,978.52x = 22,449.84 × 6,649.12
  4. Step 4: Simplify right side
    14,978.52x = 149,271,680.14
  5. Step 5: Solve for x
    x = 149,271,680.14/14,978.52
  6. Step 6: Final answer
    x = 9,965.72

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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.