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Finding the Fourth Proportional to 27,983.90, 41,990.43 and 12,397.88

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Solution

The fourth proportional to 27,983.90, 41,990.43 and 12,397.88 is: 18,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983.90 : 41,990.43 = 12,397.88 : x
  2. Step 2: Convert to fraction form
    27,983.90/41,990.43 = 12,397.88/x
  3. Step 3: Cross multiply
    27,983.90x = 41,990.43 × 12,397.88
  4. Step 4: Simplify right side
    27,983.90x = 520,592,102.34
  5. Step 5: Solve for x
    x = 520,592,102.34/27,983.90
  6. Step 6: Final answer
    x = 18,603.28

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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.