Home / 1,355.20-2,031.36-970.24

Finding the Fourth Proportional to 1,355.20, 2,031.36 and 970.24

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Solution

The fourth proportional to 1,355.20, 2,031.36 and 970.24 is: 1,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.20 : 2,031.36 = 970.24 : x
  2. Step 2: Convert to fraction form
    1,355.20/2,031.36 = 970.24/x
  3. Step 3: Cross multiply
    1,355.20x = 2,031.36 × 970.24
  4. Step 4: Simplify right side
    1,355.20x = 1,970,906.73
  5. Step 5: Solve for x
    x = 1,970,906.73/1,355.20
  6. Step 6: Final answer
    x = 1,454.33

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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.