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Finding the Fourth Proportional to 3,084.34, 4,256.31 and 1,687

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Solution

The fourth proportional to 3,084.34, 4,256.31 and 1,687 is: 2,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.34 : 4,256.31 = 1,687 : x
  2. Step 2: Convert to fraction form
    3,084.34/4,256.31 = 1,687/x
  3. Step 3: Cross multiply
    3,084.34x = 4,256.31 × 1,687
  4. Step 4: Simplify right side
    3,084.34x = 7,180,394.97
  5. Step 5: Solve for x
    x = 7,180,394.97/3,084.34
  6. Step 6: Final answer
    x = 2,328.02

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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.