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Finding the Fourth Proportional to 27,219.70, 40,841.70 and 9,702.10

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Solution

The fourth proportional to 27,219.70, 40,841.70 and 9,702.10 is: 14,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,219.70 : 40,841.70 = 9,702.10 : x
  2. Step 2: Convert to fraction form
    27,219.70/40,841.70 = 9,702.10/x
  3. Step 3: Cross multiply
    27,219.70x = 40,841.70 × 9,702.10
  4. Step 4: Simplify right side
    27,219.70x = 396,250,257.57
  5. Step 5: Solve for x
    x = 396,250,257.57/27,219.70
  6. Step 6: Final answer
    x = 14,557.48

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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.