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Finding the Fourth Proportional to 2,149.02, 2,964.84 and 1,264.20

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Solution

The fourth proportional to 2,149.02, 2,964.84 and 1,264.20 is: 1,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.02 : 2,964.84 = 1,264.20 : x
  2. Step 2: Convert to fraction form
    2,149.02/2,964.84 = 1,264.20/x
  3. Step 3: Cross multiply
    2,149.02x = 2,964.84 × 1,264.20
  4. Step 4: Simplify right side
    2,149.02x = 3,748,150.73
  5. Step 5: Solve for x
    x = 3,748,150.73/2,149.02
  6. Step 6: Final answer
    x = 1,744.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.