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Finding the Fourth Proportional to 23,671, 35,487.78 and 11,818.68

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Solution

The fourth proportional to 23,671, 35,487.78 and 11,818.68 is: 17,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,671 : 35,487.78 = 11,818.68 : x
  2. Step 2: Convert to fraction form
    23,671/35,487.78 = 11,818.68/x
  3. Step 3: Cross multiply
    23,671x = 35,487.78 × 11,818.68
  4. Step 4: Simplify right side
    23,671x = 419,418,715.73
  5. Step 5: Solve for x
    x = 419,418,715.73/23,671
  6. Step 6: Final answer
    x = 17,718.67

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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.