Home / 1,678.29-2,517.44-1,027.66

Finding the Fourth Proportional to 1,678.29, 2,517.44 and 1,027.66

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Solution

The fourth proportional to 1,678.29, 2,517.44 and 1,027.66 is: 1,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.29 : 2,517.44 = 1,027.66 : x
  2. Step 2: Convert to fraction form
    1,678.29/2,517.44 = 1,027.66/x
  3. Step 3: Cross multiply
    1,678.29x = 2,517.44 × 1,027.66
  4. Step 4: Simplify right side
    1,678.29x = 2,587,072.39
  5. Step 5: Solve for x
    x = 2,587,072.39/1,678.29
  6. Step 6: Final answer
    x = 1,541.49

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1.5x scale

Why These Related Problems?

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