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Finding the Fourth Proportional to 3,881.42, 5,820.34 and 1,248.44

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Solution

The fourth proportional to 3,881.42, 5,820.34 and 1,248.44 is: 1,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.42 : 5,820.34 = 1,248.44 : x
  2. Step 2: Convert to fraction form
    3,881.42/5,820.34 = 1,248.44/x
  3. Step 3: Cross multiply
    3,881.42x = 5,820.34 × 1,248.44
  4. Step 4: Simplify right side
    3,881.42x = 7,266,316.17
  5. Step 5: Solve for x
    x = 7,266,316.17/3,881.42
  6. Step 6: Final answer
    x = 1,872.08

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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.