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Finding the Fourth Proportional to 23,178.82, 34,781 and 12,648.40

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Solution

The fourth proportional to 23,178.82, 34,781 and 12,648.40 is: 18,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.82 : 34,781 = 12,648.40 : x
  2. Step 2: Convert to fraction form
    23,178.82/34,781 = 12,648.40/x
  3. Step 3: Cross multiply
    23,178.82x = 34,781 × 12,648.40
  4. Step 4: Simplify right side
    23,178.82x = 439,924,000.40
  5. Step 5: Solve for x
    x = 439,924,000.40/23,178.82
  6. Step 6: Final answer
    x = 18,979.57

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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.