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Finding the Fourth Proportional to 3,902.67, 5,854.59 and 1,305

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Solution

The fourth proportional to 3,902.67, 5,854.59 and 1,305 is: 1,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.67 : 5,854.59 = 1,305 : x
  2. Step 2: Convert to fraction form
    3,902.67/5,854.59 = 1,305/x
  3. Step 3: Cross multiply
    3,902.67x = 5,854.59 × 1,305
  4. Step 4: Simplify right side
    3,902.67x = 7,640,239.95
  5. Step 5: Solve for x
    x = 7,640,239.95/3,902.67
  6. Step 6: Final answer
    x = 1,957.70

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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.