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Finding the Fourth Proportional to 15,785.78, 23,672.49 and 5,919.67

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Solution

The fourth proportional to 15,785.78, 23,672.49 and 5,919.67 is: 8,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.78 : 23,672.49 = 5,919.67 : x
  2. Step 2: Convert to fraction form
    15,785.78/23,672.49 = 5,919.67/x
  3. Step 3: Cross multiply
    15,785.78x = 23,672.49 × 5,919.67
  4. Step 4: Simplify right side
    15,785.78x = 140,133,328.88
  5. Step 5: Solve for x
    x = 140,133,328.88/15,785.78
  6. Step 6: Final answer
    x = 8,877.19

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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.