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Finding the Fourth Proportional to 2,651.77, 3,977.86 and 1,008.30

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Solution

The fourth proportional to 2,651.77, 3,977.86 and 1,008.30 is: 1,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.77 : 3,977.86 = 1,008.30 : x
  2. Step 2: Convert to fraction form
    2,651.77/3,977.86 = 1,008.30/x
  3. Step 3: Cross multiply
    2,651.77x = 3,977.86 × 1,008.30
  4. Step 4: Simplify right side
    2,651.77x = 4,010,876.24
  5. Step 5: Solve for x
    x = 4,010,876.24/2,651.77
  6. Step 6: Final answer
    x = 1,512.53

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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.