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Finding the Fourth Proportional to 2,576.36, 3,865.05 and 932.87

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Solution

The fourth proportional to 2,576.36, 3,865.05 and 932.87 is: 1,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.36 : 3,865.05 = 932.87 : x
  2. Step 2: Convert to fraction form
    2,576.36/3,865.05 = 932.87/x
  3. Step 3: Cross multiply
    2,576.36x = 3,865.05 × 932.87
  4. Step 4: Simplify right side
    2,576.36x = 3,605,598.86
  5. Step 5: Solve for x
    x = 3,605,598.86/2,576.36
  6. Step 6: Final answer
    x = 1,399.49

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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.