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Finding the Fourth Proportional to 3,073.92, 4,610.43 and 1,686.78

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Solution

The fourth proportional to 3,073.92, 4,610.43 and 1,686.78 is: 2,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.92 : 4,610.43 = 1,686.78 : x
  2. Step 2: Convert to fraction form
    3,073.92/4,610.43 = 1,686.78/x
  3. Step 3: Cross multiply
    3,073.92x = 4,610.43 × 1,686.78
  4. Step 4: Simplify right side
    3,073.92x = 7,776,781.12
  5. Step 5: Solve for x
    x = 7,776,781.12/3,073.92
  6. Step 6: Final answer
    x = 2,529.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.