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Finding the Fourth Proportional to 8,470.31, 12,702.33 and 2,922.12

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Solution

The fourth proportional to 8,470.31, 12,702.33 and 2,922.12 is: 4,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.31 : 12,702.33 = 2,922.12 : x
  2. Step 2: Convert to fraction form
    8,470.31/12,702.33 = 2,922.12/x
  3. Step 3: Cross multiply
    8,470.31x = 12,702.33 × 2,922.12
  4. Step 4: Simplify right side
    8,470.31x = 37,117,732.54
  5. Step 5: Solve for x
    x = 37,117,732.54/8,470.31
  6. Step 6: Final answer
    x = 4,382.10

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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.