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Finding the Fourth Proportional to 11,488.80, 15,842.87 and 10,819.10

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Solution

The fourth proportional to 11,488.80, 15,842.87 and 10,819.10 is: 14,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.80 : 15,842.87 = 10,819.10 : x
  2. Step 2: Convert to fraction form
    11,488.80/15,842.87 = 10,819.10/x
  3. Step 3: Cross multiply
    11,488.80x = 15,842.87 × 10,819.10
  4. Step 4: Simplify right side
    11,488.80x = 171,405,620.90
  5. Step 5: Solve for x
    x = 171,405,620.90/11,488.80
  6. Step 6: Final answer
    x = 14,919.36

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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.