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Finding the Fourth Proportional to 27,989.34, 38,625.12 and 15,414

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Solution

The fourth proportional to 27,989.34, 38,625.12 and 15,414 is: 21,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989.34 : 38,625.12 = 15,414 : x
  2. Step 2: Convert to fraction form
    27,989.34/38,625.12 = 15,414/x
  3. Step 3: Cross multiply
    27,989.34x = 38,625.12 × 15,414
  4. Step 4: Simplify right side
    27,989.34x = 595,367,599.68
  5. Step 5: Solve for x
    x = 595,367,599.68/27,989.34
  6. Step 6: Final answer
    x = 21,271.23

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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.