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Finding the Fourth Proportional to 11,868.13, 16,391.48 and 8,084.74

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Solution

The fourth proportional to 11,868.13, 16,391.48 and 8,084.74 is: 11,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.13 : 16,391.48 = 8,084.74 : x
  2. Step 2: Convert to fraction form
    11,868.13/16,391.48 = 8,084.74/x
  3. Step 3: Cross multiply
    11,868.13x = 16,391.48 × 8,084.74
  4. Step 4: Simplify right side
    11,868.13x = 132,520,854.02
  5. Step 5: Solve for x
    x = 132,520,854.02/11,868.13
  6. Step 6: Final answer
    x = 11,166.11

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1.5x scale

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.