Home / 2,170.43-3,257.47-938.78

Finding the Fourth Proportional to 2,170.43, 3,257.47 and 938.78

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Solution

The fourth proportional to 2,170.43, 3,257.47 and 938.78 is: 1,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.43 : 3,257.47 = 938.78 : x
  2. Step 2: Convert to fraction form
    2,170.43/3,257.47 = 938.78/x
  3. Step 3: Cross multiply
    2,170.43x = 3,257.47 × 938.78
  4. Step 4: Simplify right side
    2,170.43x = 3,058,031.40
  5. Step 5: Solve for x
    x = 3,058,031.40/2,170.43
  6. Step 6: Final answer
    x = 1,408.96

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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.