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Finding the Fourth Proportional to 3,905.12, 5,881.04 and 3,424

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Solution

The fourth proportional to 3,905.12, 5,881.04 and 3,424 is: 5,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.12 : 5,881.04 = 3,424 : x
  2. Step 2: Convert to fraction form
    3,905.12/5,881.04 = 3,424/x
  3. Step 3: Cross multiply
    3,905.12x = 5,881.04 × 3,424
  4. Step 4: Simplify right side
    3,905.12x = 20,136,680.96
  5. Step 5: Solve for x
    x = 20,136,680.96/3,905.12
  6. Step 6: Final answer
    x = 5,156.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.