Home / 1,353.24-2,031.48-831.72

Finding the Fourth Proportional to 1,353.24, 2,031.48 and 831.72

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Solution

The fourth proportional to 1,353.24, 2,031.48 and 831.72 is: 1,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.24 : 2,031.48 = 831.72 : x
  2. Step 2: Convert to fraction form
    1,353.24/2,031.48 = 831.72/x
  3. Step 3: Cross multiply
    1,353.24x = 2,031.48 × 831.72
  4. Step 4: Simplify right side
    1,353.24x = 1,689,622.55
  5. Step 5: Solve for x
    x = 1,689,622.55/1,353.24
  6. Step 6: Final answer
    x = 1,248.58

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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.