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Finding the Fourth Proportional to 2,806.13, 4,209.19 and 754.13

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Solution

The fourth proportional to 2,806.13, 4,209.19 and 754.13 is: 1,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.13 : 4,209.19 = 754.13 : x
  2. Step 2: Convert to fraction form
    2,806.13/4,209.19 = 754.13/x
  3. Step 3: Cross multiply
    2,806.13x = 4,209.19 × 754.13
  4. Step 4: Simplify right side
    2,806.13x = 3,174,253.52
  5. Step 5: Solve for x
    x = 3,174,253.52/2,806.13
  6. Step 6: Final answer
    x = 1,131.19

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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.