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Finding the Fourth Proportional to 11,700.48, 17,557.20 and 10,819.20

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Solution

The fourth proportional to 11,700.48, 17,557.20 and 10,819.20 is: 16,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.48 : 17,557.20 = 10,819.20 : x
  2. Step 2: Convert to fraction form
    11,700.48/17,557.20 = 10,819.20/x
  3. Step 3: Cross multiply
    11,700.48x = 17,557.20 × 10,819.20
  4. Step 4: Simplify right side
    11,700.48x = 189,954,858.24
  5. Step 5: Solve for x
    x = 189,954,858.24/11,700.48
  6. Step 6: Final answer
    x = 16,234.79

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1.5x scale

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.