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Finding the Fourth Proportional to 6,305.87, 8,702.28 and 3,654.20

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Solution

The fourth proportional to 6,305.87, 8,702.28 and 3,654.20 is: 5,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.87 : 8,702.28 = 3,654.20 : x
  2. Step 2: Convert to fraction form
    6,305.87/8,702.28 = 3,654.20/x
  3. Step 3: Cross multiply
    6,305.87x = 8,702.28 × 3,654.20
  4. Step 4: Simplify right side
    6,305.87x = 31,799,828.06
  5. Step 5: Solve for x
    x = 31,799,828.06/6,305.87
  6. Step 6: Final answer
    x = 5,042.90

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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.