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Finding the Fourth Proportional to 21,993, 30,337.92 and 13,031.70

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Solution

The fourth proportional to 21,993, 30,337.92 and 13,031.70 is: 17,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993 : 30,337.92 = 13,031.70 : x
  2. Step 2: Convert to fraction form
    21,993/30,337.92 = 13,031.70/x
  3. Step 3: Cross multiply
    21,993x = 30,337.92 × 13,031.70
  4. Step 4: Simplify right side
    21,993x = 395,354,672.06
  5. Step 5: Solve for x
    x = 395,354,672.06/21,993
  6. Step 6: Final answer
    x = 17,976.39

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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.