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Finding the Fourth Proportional to 2,621.16, 3,932.10 and 772.41

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Solution

The fourth proportional to 2,621.16, 3,932.10 and 772.41 is: 1,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.16 : 3,932.10 = 772.41 : x
  2. Step 2: Convert to fraction form
    2,621.16/3,932.10 = 772.41/x
  3. Step 3: Cross multiply
    2,621.16x = 3,932.10 × 772.41
  4. Step 4: Simplify right side
    2,621.16x = 3,037,193.36
  5. Step 5: Solve for x
    x = 3,037,193.36/2,621.16
  6. Step 6: Final answer
    x = 1,158.72

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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.