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Finding the Fourth Proportional to 9,978.48, 14,927.40 and 8,338.32

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Solution

The fourth proportional to 9,978.48, 14,927.40 and 8,338.32 is: 12,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.48 : 14,927.40 = 8,338.32 : x
  2. Step 2: Convert to fraction form
    9,978.48/14,927.40 = 8,338.32/x
  3. Step 3: Cross multiply
    9,978.48x = 14,927.40 × 8,338.32
  4. Step 4: Simplify right side
    9,978.48x = 124,469,437.97
  5. Step 5: Solve for x
    x = 124,469,437.97/9,978.48
  6. Step 6: Final answer
    x = 12,473.79

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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.