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Finding the Fourth Proportional to 1,908.38, 2,862.59 and 754.13

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Solution

The fourth proportional to 1,908.38, 2,862.59 and 754.13 is: 1,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.38 : 2,862.59 = 754.13 : x
  2. Step 2: Convert to fraction form
    1,908.38/2,862.59 = 754.13/x
  3. Step 3: Cross multiply
    1,908.38x = 2,862.59 × 754.13
  4. Step 4: Simplify right side
    1,908.38x = 2,158,746.91
  5. Step 5: Solve for x
    x = 2,158,746.91/1,908.38
  6. Step 6: Final answer
    x = 1,131.20

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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.