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Finding the Fourth Proportional to 9,978.20, 14,947.86 and 6,072.92

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Solution

The fourth proportional to 9,978.20, 14,947.86 and 6,072.92 is: 9,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.20 : 14,947.86 = 6,072.92 : x
  2. Step 2: Convert to fraction form
    9,978.20/14,947.86 = 6,072.92/x
  3. Step 3: Cross multiply
    9,978.20x = 14,947.86 × 6,072.92
  4. Step 4: Simplify right side
    9,978.20x = 90,777,157.95
  5. Step 5: Solve for x
    x = 90,777,157.95/9,978.20
  6. Step 6: Final answer
    x = 9,097.55

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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.