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Finding the Fourth Proportional to 20,702.64, 28,574.16 and 12,638

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Solution

The fourth proportional to 20,702.64, 28,574.16 and 12,638 is: 17,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.64 : 28,574.16 = 12,638 : x
  2. Step 2: Convert to fraction form
    20,702.64/28,574.16 = 12,638/x
  3. Step 3: Cross multiply
    20,702.64x = 28,574.16 × 12,638
  4. Step 4: Simplify right side
    20,702.64x = 361,120,234.08
  5. Step 5: Solve for x
    x = 361,120,234.08/20,702.64
  6. Step 6: Final answer
    x = 17,443.20

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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.