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Finding the Fourth Proportional to 7,854.92, 10,839.52 and 4,318.11

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Solution

The fourth proportional to 7,854.92, 10,839.52 and 4,318.11 is: 5,958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.92 : 10,839.52 = 4,318.11 : x
  2. Step 2: Convert to fraction form
    7,854.92/10,839.52 = 4,318.11/x
  3. Step 3: Cross multiply
    7,854.92x = 10,839.52 × 4,318.11
  4. Step 4: Simplify right side
    7,854.92x = 46,806,245.10
  5. Step 5: Solve for x
    x = 46,806,245.10/7,854.92
  6. Step 6: Final answer
    x = 5,958.84

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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.