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Finding the Fourth Proportional to 11,868.64, 16,392.17 and 8,085.24

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Solution

The fourth proportional to 11,868.64, 16,392.17 and 8,085.24 is: 11,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.64 : 16,392.17 = 8,085.24 : x
  2. Step 2: Convert to fraction form
    11,868.64/16,392.17 = 8,085.24/x
  3. Step 3: Cross multiply
    11,868.64x = 16,392.17 × 8,085.24
  4. Step 4: Simplify right side
    11,868.64x = 132,534,628.57
  5. Step 5: Solve for x
    x = 132,534,628.57/11,868.64
  6. Step 6: Final answer
    x = 11,166.79

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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.