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Finding the Fourth Proportional to 7,899.84, 11,854.08 and 7,081.92

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Solution

The fourth proportional to 7,899.84, 11,854.08 and 7,081.92 is: 10,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.84 : 11,854.08 = 7,081.92 : x
  2. Step 2: Convert to fraction form
    7,899.84/11,854.08 = 7,081.92/x
  3. Step 3: Cross multiply
    7,899.84x = 11,854.08 × 7,081.92
  4. Step 4: Simplify right side
    7,899.84x = 83,949,646.23
  5. Step 5: Solve for x
    x = 83,949,646.23/7,899.84
  6. Step 6: Final answer
    x = 10,626.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.