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Finding the Fourth Proportional to 7,920.64, 11,891.22 and 6,773.68

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Solution

The fourth proportional to 7,920.64, 11,891.22 and 6,773.68 is: 10,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.64 : 11,891.22 = 6,773.68 : x
  2. Step 2: Convert to fraction form
    7,920.64/11,891.22 = 6,773.68/x
  3. Step 3: Cross multiply
    7,920.64x = 11,891.22 × 6,773.68
  4. Step 4: Simplify right side
    7,920.64x = 80,547,319.09
  5. Step 5: Solve for x
    x = 80,547,319.09/7,920.64
  6. Step 6: Final answer
    x = 10,169.29

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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.