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Finding the Fourth Proportional to 13,871.32, 20,806.98 and 6,078.52

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Solution

The fourth proportional to 13,871.32, 20,806.98 and 6,078.52 is: 9,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.32 : 20,806.98 = 6,078.52 : x
  2. Step 2: Convert to fraction form
    13,871.32/20,806.98 = 6,078.52/x
  3. Step 3: Cross multiply
    13,871.32x = 20,806.98 × 6,078.52
  4. Step 4: Simplify right side
    13,871.32x = 126,475,644.07
  5. Step 5: Solve for x
    x = 126,475,644.07/13,871.32
  6. Step 6: Final answer
    x = 9,117.78

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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.