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Finding the Fourth Proportional to 2,149.32, 2,964.72 and 1,264.92

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Solution

The fourth proportional to 2,149.32, 2,964.72 and 1,264.92 is: 1,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.32 : 2,964.72 = 1,264.92 : x
  2. Step 2: Convert to fraction form
    2,149.32/2,964.72 = 1,264.92/x
  3. Step 3: Cross multiply
    2,149.32x = 2,964.72 × 1,264.92
  4. Step 4: Simplify right side
    2,149.32x = 3,750,133.62
  5. Step 5: Solve for x
    x = 3,750,133.62/2,149.32
  6. Step 6: Final answer
    x = 1,744.80

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1.5x scale

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.