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Finding the Fourth Proportional to 8,931.40, 12,326.22 and 6,689.32

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Solution

The fourth proportional to 8,931.40, 12,326.22 and 6,689.32 is: 9,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.40 : 12,326.22 = 6,689.32 : x
  2. Step 2: Convert to fraction form
    8,931.40/12,326.22 = 6,689.32/x
  3. Step 3: Cross multiply
    8,931.40x = 12,326.22 × 6,689.32
  4. Step 4: Simplify right side
    8,931.40x = 82,454,029.97
  5. Step 5: Solve for x
    x = 82,454,029.97/8,931.40
  6. Step 6: Final answer
    x = 9,231.93

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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.