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Finding the Fourth Proportional to 3,083.68, 4,255.50 and 1,686.46

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Solution

The fourth proportional to 3,083.68, 4,255.50 and 1,686.46 is: 2,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.68 : 4,255.50 = 1,686.46 : x
  2. Step 2: Convert to fraction form
    3,083.68/4,255.50 = 1,686.46/x
  3. Step 3: Cross multiply
    3,083.68x = 4,255.50 × 1,686.46
  4. Step 4: Simplify right side
    3,083.68x = 7,176,730.53
  5. Step 5: Solve for x
    x = 7,176,730.53/3,083.68
  6. Step 6: Final answer
    x = 2,327.33

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1.5x scale

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.