Home / 2,292.24-3,438.36-830.76

Finding the Fourth Proportional to 2,292.24, 3,438.36 and 830.76

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Solution

The fourth proportional to 2,292.24, 3,438.36 and 830.76 is: 1,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.24 : 3,438.36 = 830.76 : x
  2. Step 2: Convert to fraction form
    2,292.24/3,438.36 = 830.76/x
  3. Step 3: Cross multiply
    2,292.24x = 3,438.36 × 830.76
  4. Step 4: Simplify right side
    2,292.24x = 2,856,451.95
  5. Step 5: Solve for x
    x = 2,856,451.95/2,292.24
  6. Step 6: Final answer
    x = 1,246.14

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1.5x scale

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.