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Finding the Fourth Proportional to 2,876.88, 3,969 and 1,697.52

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Solution

The fourth proportional to 2,876.88, 3,969 and 1,697.52 is: 2,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.88 : 3,969 = 1,697.52 : x
  2. Step 2: Convert to fraction form
    2,876.88/3,969 = 1,697.52/x
  3. Step 3: Cross multiply
    2,876.88x = 3,969 × 1,697.52
  4. Step 4: Simplify right side
    2,876.88x = 6,737,456.88
  5. Step 5: Solve for x
    x = 6,737,456.88/2,876.88
  6. Step 6: Final answer
    x = 2,341.93

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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.