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Finding the Fourth Proportional to 11,702.20, 17,578.90 and 8,246.20

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Solution

The fourth proportional to 11,702.20, 17,578.90 and 8,246.20 is: 12,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.20 : 17,578.90 = 8,246.20 : x
  2. Step 2: Convert to fraction form
    11,702.20/17,578.90 = 8,246.20/x
  3. Step 3: Cross multiply
    11,702.20x = 17,578.90 × 8,246.20
  4. Step 4: Simplify right side
    11,702.20x = 144,959,125.18
  5. Step 5: Solve for x
    x = 144,959,125.18/11,702.20
  6. Step 6: Final answer
    x = 12,387.34

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1.5x scale

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.