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Finding the Fourth Proportional to 9,329.85, 12,881.07 and 6,463.71

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Solution

The fourth proportional to 9,329.85, 12,881.07 and 6,463.71 is: 8,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.85 : 12,881.07 = 6,463.71 : x
  2. Step 2: Convert to fraction form
    9,329.85/12,881.07 = 6,463.71/x
  3. Step 3: Cross multiply
    9,329.85x = 12,881.07 × 6,463.71
  4. Step 4: Simplify right side
    9,329.85x = 83,259,500.97
  5. Step 5: Solve for x
    x = 83,259,500.97/9,329.85
  6. Step 6: Final answer
    x = 8,923.99

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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.