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Finding the Fourth Proportional to 8,709.60, 13,074.24 and 3,519.12

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Solution

The fourth proportional to 8,709.60, 13,074.24 and 3,519.12 is: 5,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.60 : 13,074.24 = 3,519.12 : x
  2. Step 2: Convert to fraction form
    8,709.60/13,074.24 = 3,519.12/x
  3. Step 3: Cross multiply
    8,709.60x = 13,074.24 × 3,519.12
  4. Step 4: Simplify right side
    8,709.60x = 46,009,819.47
  5. Step 5: Solve for x
    x = 46,009,819.47/8,709.60
  6. Step 6: Final answer
    x = 5,282.66

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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.