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Finding the Fourth Proportional to 21,241.72, 31,862.76 and 7,381

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Solution

The fourth proportional to 21,241.72, 31,862.76 and 7,381 is: 11,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241.72 : 31,862.76 = 7,381 : x
  2. Step 2: Convert to fraction form
    21,241.72/31,862.76 = 7,381/x
  3. Step 3: Cross multiply
    21,241.72x = 31,862.76 × 7,381
  4. Step 4: Simplify right side
    21,241.72x = 235,179,031.56
  5. Step 5: Solve for x
    x = 235,179,031.56/21,241.72
  6. Step 6: Final answer
    x = 11,071.56

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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.