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Finding the Fourth Proportional to 2,615.81, 3,923.90 and 1,154.70

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Solution

The fourth proportional to 2,615.81, 3,923.90 and 1,154.70 is: 1,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.81 : 3,923.90 = 1,154.70 : x
  2. Step 2: Convert to fraction form
    2,615.81/3,923.90 = 1,154.70/x
  3. Step 3: Cross multiply
    2,615.81x = 3,923.90 × 1,154.70
  4. Step 4: Simplify right side
    2,615.81x = 4,530,921.56
  5. Step 5: Solve for x
    x = 4,530,921.56/2,615.81
  6. Step 6: Final answer
    x = 1,732.13

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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.