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Finding the Fourth Proportional to 3,084.46, 4,256.62 and 1,687.18

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Solution

The fourth proportional to 3,084.46, 4,256.62 and 1,687.18 is: 2,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.46 : 4,256.62 = 1,687.18 : x
  2. Step 2: Convert to fraction form
    3,084.46/4,256.62 = 1,687.18/x
  3. Step 3: Cross multiply
    3,084.46x = 4,256.62 × 1,687.18
  4. Step 4: Simplify right side
    3,084.46x = 7,181,684.13
  5. Step 5: Solve for x
    x = 7,181,684.13/3,084.46
  6. Step 6: Final answer
    x = 2,328.34

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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.