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Finding the Fourth Proportional to 2,881.40, 3,976.17 and 1,702.58

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Solution

The fourth proportional to 2,881.40, 3,976.17 and 1,702.58 is: 2,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.40 : 3,976.17 = 1,702.58 : x
  2. Step 2: Convert to fraction form
    2,881.40/3,976.17 = 1,702.58/x
  3. Step 3: Cross multiply
    2,881.40x = 3,976.17 × 1,702.58
  4. Step 4: Simplify right side
    2,881.40x = 6,769,747.52
  5. Step 5: Solve for x
    x = 6,769,747.52/2,881.40
  6. Step 6: Final answer
    x = 2,349.46

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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.