Home / 1,689.96-2,331.42-1,026.78

Finding the Fourth Proportional to 1,689.96, 2,331.42 and 1,026.78

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Solution

The fourth proportional to 1,689.96, 2,331.42 and 1,026.78 is: 1,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.96 : 2,331.42 = 1,026.78 : x
  2. Step 2: Convert to fraction form
    1,689.96/2,331.42 = 1,026.78/x
  3. Step 3: Cross multiply
    1,689.96x = 2,331.42 × 1,026.78
  4. Step 4: Simplify right side
    1,689.96x = 2,393,842.83
  5. Step 5: Solve for x
    x = 2,393,842.83/1,689.96
  6. Step 6: Final answer
    x = 1,416.51

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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.