Home / 2,142.96-3,213.90-1,031.28

Finding the Fourth Proportional to 2,142.96, 3,213.90 and 1,031.28

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Solution

The fourth proportional to 2,142.96, 3,213.90 and 1,031.28 is: 1,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.96 : 3,213.90 = 1,031.28 : x
  2. Step 2: Convert to fraction form
    2,142.96/3,213.90 = 1,031.28/x
  3. Step 3: Cross multiply
    2,142.96x = 3,213.90 × 1,031.28
  4. Step 4: Simplify right side
    2,142.96x = 3,314,430.79
  5. Step 5: Solve for x
    x = 3,314,430.79/2,142.96
  6. Step 6: Final answer
    x = 1,546.66

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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.