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Finding the Fourth Proportional to 6,480.95, 9,714.06 and 2,781.29

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Solution

The fourth proportional to 6,480.95, 9,714.06 and 2,781.29 is: 4,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.95 : 9,714.06 = 2,781.29 : x
  2. Step 2: Convert to fraction form
    6,480.95/9,714.06 = 2,781.29/x
  3. Step 3: Cross multiply
    6,480.95x = 9,714.06 × 2,781.29
  4. Step 4: Simplify right side
    6,480.95x = 27,017,617.94
  5. Step 5: Solve for x
    x = 27,017,617.94/6,480.95
  6. Step 6: Final answer
    x = 4,168.77

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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.