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Finding the Fourth Proportional to 7,986.60, 11,920.77 and 7,494.12

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Solution

The fourth proportional to 7,986.60, 11,920.77 and 7,494.12 is: 11,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.60 : 11,920.77 = 7,494.12 : x
  2. Step 2: Convert to fraction form
    7,986.60/11,920.77 = 7,494.12/x
  3. Step 3: Cross multiply
    7,986.60x = 11,920.77 × 7,494.12
  4. Step 4: Simplify right side
    7,986.60x = 89,335,680.87
  5. Step 5: Solve for x
    x = 89,335,680.87/7,986.60
  6. Step 6: Final answer
    x = 11,185.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.