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Finding the Fourth Proportional to 2,621.64, 3,932 and 772.70

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Solution

The fourth proportional to 2,621.64, 3,932 and 772.70 is: 1,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.64 : 3,932 = 772.70 : x
  2. Step 2: Convert to fraction form
    2,621.64/3,932 = 772.70/x
  3. Step 3: Cross multiply
    2,621.64x = 3,932 × 772.70
  4. Step 4: Simplify right side
    2,621.64x = 3,038,256.40
  5. Step 5: Solve for x
    x = 3,038,256.40/2,621.64
  6. Step 6: Final answer
    x = 1,158.91

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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.