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Finding the Fourth Proportional to 2,643.77, 3,966.23 and 769.70

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Solution

The fourth proportional to 2,643.77, 3,966.23 and 769.70 is: 1,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.77 : 3,966.23 = 769.70 : x
  2. Step 2: Convert to fraction form
    2,643.77/3,966.23 = 769.70/x
  3. Step 3: Cross multiply
    2,643.77x = 3,966.23 × 769.70
  4. Step 4: Simplify right side
    2,643.77x = 3,052,819.07
  5. Step 5: Solve for x
    x = 3,052,819.07/2,643.77
  6. Step 6: Final answer
    x = 1,154.72

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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.