Home / 2,148.47-3,221.13-686.78

Finding the Fourth Proportional to 2,148.47, 3,221.13 and 686.78

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Solution

The fourth proportional to 2,148.47, 3,221.13 and 686.78 is: 1,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.47 : 3,221.13 = 686.78 : x
  2. Step 2: Convert to fraction form
    2,148.47/3,221.13 = 686.78/x
  3. Step 3: Cross multiply
    2,148.47x = 3,221.13 × 686.78
  4. Step 4: Simplify right side
    2,148.47x = 2,212,207.66
  5. Step 5: Solve for x
    x = 2,212,207.66/2,148.47
  6. Step 6: Final answer
    x = 1,029.67

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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.