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Finding the Fourth Proportional to 2,423.70, 3,635.56 and 863.76

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Solution

The fourth proportional to 2,423.70, 3,635.56 and 863.76 is: 1,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.70 : 3,635.56 = 863.76 : x
  2. Step 2: Convert to fraction form
    2,423.70/3,635.56 = 863.76/x
  3. Step 3: Cross multiply
    2,423.70x = 3,635.56 × 863.76
  4. Step 4: Simplify right side
    2,423.70x = 3,140,249.15
  5. Step 5: Solve for x
    x = 3,140,249.15/2,423.70
  6. Step 6: Final answer
    x = 1,295.64

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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.