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Finding the Fourth Proportional to 2,680.74, 3,699.90 and 1,685.43

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Solution

The fourth proportional to 2,680.74, 3,699.90 and 1,685.43 is: 2,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.74 : 3,699.90 = 1,685.43 : x
  2. Step 2: Convert to fraction form
    2,680.74/3,699.90 = 1,685.43/x
  3. Step 3: Cross multiply
    2,680.74x = 3,699.90 × 1,685.43
  4. Step 4: Simplify right side
    2,680.74x = 6,235,922.46
  5. Step 5: Solve for x
    x = 6,235,922.46/2,680.74
  6. Step 6: Final answer
    x = 2,326.19

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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.