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Finding the Fourth Proportional to 2,429.92, 3,347.76 and 2,265.76

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Solution

The fourth proportional to 2,429.92, 3,347.76 and 2,265.76 is: 3,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.92 : 3,347.76 = 2,265.76 : x
  2. Step 2: Convert to fraction form
    2,429.92/3,347.76 = 2,265.76/x
  3. Step 3: Cross multiply
    2,429.92x = 3,347.76 × 2,265.76
  4. Step 4: Simplify right side
    2,429.92x = 7,585,220.70
  5. Step 5: Solve for x
    x = 7,585,220.70/2,429.92
  6. Step 6: Final answer
    x = 3,121.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.