Home / 1,689.83-2,332.35-1,026.54

Finding the Fourth Proportional to 1,689.83, 2,332.35 and 1,026.54

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Solution

The fourth proportional to 1,689.83, 2,332.35 and 1,026.54 is: 1,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.83 : 2,332.35 = 1,026.54 : x
  2. Step 2: Convert to fraction form
    1,689.83/2,332.35 = 1,026.54/x
  3. Step 3: Cross multiply
    1,689.83x = 2,332.35 × 1,026.54
  4. Step 4: Simplify right side
    1,689.83x = 2,394,250.57
  5. Step 5: Solve for x
    x = 2,394,250.57/1,689.83
  6. Step 6: Final answer
    x = 1,416.86

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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.