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Finding the Fourth Proportional to 1,902.93, 2,853.05 and 731.95

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Solution

The fourth proportional to 1,902.93, 2,853.05 and 731.95 is: 1,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.93 : 2,853.05 = 731.95 : x
  2. Step 2: Convert to fraction form
    1,902.93/2,853.05 = 731.95/x
  3. Step 3: Cross multiply
    1,902.93x = 2,853.05 × 731.95
  4. Step 4: Simplify right side
    1,902.93x = 2,088,282.81
  5. Step 5: Solve for x
    x = 2,088,282.81/1,902.93
  6. Step 6: Final answer
    x = 1,097.41

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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.