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Finding the Fourth Proportional to 1,902.59, 2,853.90 and 807.72

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Solution

The fourth proportional to 1,902.59, 2,853.90 and 807.72 is: 1,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.59 : 2,853.90 = 807.72 : x
  2. Step 2: Convert to fraction form
    1,902.59/2,853.90 = 807.72/x
  3. Step 3: Cross multiply
    1,902.59x = 2,853.90 × 807.72
  4. Step 4: Simplify right side
    1,902.59x = 2,305,152.11
  5. Step 5: Solve for x
    x = 2,305,152.11/1,902.59
  6. Step 6: Final answer
    x = 1,211.58

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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.