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Finding the Fourth Proportional to 9,218.66, 12,711.71 and 6,229.31

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Solution

The fourth proportional to 9,218.66, 12,711.71 and 6,229.31 is: 8,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.66 : 12,711.71 = 6,229.31 : x
  2. Step 2: Convert to fraction form
    9,218.66/12,711.71 = 6,229.31/x
  3. Step 3: Cross multiply
    9,218.66x = 12,711.71 × 6,229.31
  4. Step 4: Simplify right side
    9,218.66x = 79,185,182.22
  5. Step 5: Solve for x
    x = 79,185,182.22/9,218.66
  6. Step 6: Final answer
    x = 8,589.66

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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.