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Finding the Fourth Proportional to 5,902.90, 8,141.79 and 3,805

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Solution

The fourth proportional to 5,902.90, 8,141.79 and 3,805 is: 5,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.90 : 8,141.79 = 3,805 : x
  2. Step 2: Convert to fraction form
    5,902.90/8,141.79 = 3,805/x
  3. Step 3: Cross multiply
    5,902.90x = 8,141.79 × 3,805
  4. Step 4: Simplify right side
    5,902.90x = 30,979,510.95
  5. Step 5: Solve for x
    x = 30,979,510.95/5,902.90
  6. Step 6: Final answer
    x = 5,248.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.