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Finding the Fourth Proportional to 11,472.72, 15,837.60 and 8,819.20

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Solution

The fourth proportional to 11,472.72, 15,837.60 and 8,819.20 is: 12,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.72 : 15,837.60 = 8,819.20 : x
  2. Step 2: Convert to fraction form
    11,472.72/15,837.60 = 8,819.20/x
  3. Step 3: Cross multiply
    11,472.72x = 15,837.60 × 8,819.20
  4. Step 4: Simplify right side
    11,472.72x = 139,674,961.92
  5. Step 5: Solve for x
    x = 139,674,961.92/11,472.72
  6. Step 6: Final answer
    x = 12,174.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.