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Finding the Fourth Proportional to 1,691.76, 2,336.34 and 1,508.40

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Solution

The fourth proportional to 1,691.76, 2,336.34 and 1,508.40 is: 2,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.76 : 2,336.34 = 1,508.40 : x
  2. Step 2: Convert to fraction form
    1,691.76/2,336.34 = 1,508.40/x
  3. Step 3: Cross multiply
    1,691.76x = 2,336.34 × 1,508.40
  4. Step 4: Simplify right side
    1,691.76x = 3,524,135.26
  5. Step 5: Solve for x
    x = 3,524,135.26/1,691.76
  6. Step 6: Final answer
    x = 2,083.12

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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.