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Finding the Fourth Proportional to 11,870.52, 16,394.77 and 8,087.11

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Solution

The fourth proportional to 11,870.52, 16,394.77 and 8,087.11 is: 11,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.52 : 16,394.77 = 8,087.11 : x
  2. Step 2: Convert to fraction form
    11,870.52/16,394.77 = 8,087.11/x
  3. Step 3: Cross multiply
    11,870.52x = 16,394.77 × 8,087.11
  4. Step 4: Simplify right side
    11,870.52x = 132,586,277.54
  5. Step 5: Solve for x
    x = 132,586,277.54/11,870.52
  6. Step 6: Final answer
    x = 11,169.38

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Half scale
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Double scale
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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.