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Finding the Fourth Proportional to 18,978.88, 28,469.52 and 7,886.46

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Solution

The fourth proportional to 18,978.88, 28,469.52 and 7,886.46 is: 11,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.88 : 28,469.52 = 7,886.46 : x
  2. Step 2: Convert to fraction form
    18,978.88/28,469.52 = 7,886.46/x
  3. Step 3: Cross multiply
    18,978.88x = 28,469.52 × 7,886.46
  4. Step 4: Simplify right side
    18,978.88x = 224,523,730.70
  5. Step 5: Solve for x
    x = 224,523,730.70/18,978.88
  6. Step 6: Final answer
    x = 11,830.19

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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.