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Finding the Fourth Proportional to 2,618.74, 3,928.11 and 769.99

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Solution

The fourth proportional to 2,618.74, 3,928.11 and 769.99 is: 1,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.74 : 3,928.11 = 769.99 : x
  2. Step 2: Convert to fraction form
    2,618.74/3,928.11 = 769.99/x
  3. Step 3: Cross multiply
    2,618.74x = 3,928.11 × 769.99
  4. Step 4: Simplify right side
    2,618.74x = 3,024,605.42
  5. Step 5: Solve for x
    x = 3,024,605.42/2,618.74
  6. Step 6: Final answer
    x = 1,154.99

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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.