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Finding the Fourth Proportional to 9,278.57, 12,800.68 and 6,448.22

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Solution

The fourth proportional to 9,278.57, 12,800.68 and 6,448.22 is: 8,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.57 : 12,800.68 = 6,448.22 : x
  2. Step 2: Convert to fraction form
    9,278.57/12,800.68 = 6,448.22/x
  3. Step 3: Cross multiply
    9,278.57x = 12,800.68 × 6,448.22
  4. Step 4: Simplify right side
    9,278.57x = 82,541,616.67
  5. Step 5: Solve for x
    x = 82,541,616.67/9,278.57
  6. Step 6: Final answer
    x = 8,895.95

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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.