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Finding the Fourth Proportional to 23,919.12, 35,881.20 and 8,123.76

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Solution

The fourth proportional to 23,919.12, 35,881.20 and 8,123.76 is: 12,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,919.12 : 35,881.20 = 8,123.76 : x
  2. Step 2: Convert to fraction form
    23,919.12/35,881.20 = 8,123.76/x
  3. Step 3: Cross multiply
    23,919.12x = 35,881.20 × 8,123.76
  4. Step 4: Simplify right side
    23,919.12x = 291,490,257.31
  5. Step 5: Solve for x
    x = 291,490,257.31/23,919.12
  6. Step 6: Final answer
    x = 12,186.50

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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.