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Finding the Fourth Proportional to 9,978.48, 13,758.12 and 6,246

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Solution

The fourth proportional to 9,978.48, 13,758.12 and 6,246 is: 8,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.48 : 13,758.12 = 6,246 : x
  2. Step 2: Convert to fraction form
    9,978.48/13,758.12 = 6,246/x
  3. Step 3: Cross multiply
    9,978.48x = 13,758.12 × 6,246
  4. Step 4: Simplify right side
    9,978.48x = 85,933,217.52
  5. Step 5: Solve for x
    x = 85,933,217.52/9,978.48
  6. Step 6: Final answer
    x = 8,611.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.