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Finding the Fourth Proportional to 3,902.13, 5,851.91 and 1,953

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Solution

The fourth proportional to 3,902.13, 5,851.91 and 1,953 is: 2,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.13 : 5,851.91 = 1,953 : x
  2. Step 2: Convert to fraction form
    3,902.13/5,851.91 = 1,953/x
  3. Step 3: Cross multiply
    3,902.13x = 5,851.91 × 1,953
  4. Step 4: Simplify right side
    3,902.13x = 11,428,770.47
  5. Step 5: Solve for x
    x = 11,428,770.47/3,902.13
  6. Step 6: Final answer
    x = 2,928.85

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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.