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Finding the Fourth Proportional to 7,819.20, 10,790.01 and 4,282.20

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Solution

The fourth proportional to 7,819.20, 10,790.01 and 4,282.20 is: 5,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.20 : 10,790.01 = 4,282.20 : x
  2. Step 2: Convert to fraction form
    7,819.20/10,790.01 = 4,282.20/x
  3. Step 3: Cross multiply
    7,819.20x = 10,790.01 × 4,282.20
  4. Step 4: Simplify right side
    7,819.20x = 46,204,980.82
  5. Step 5: Solve for x
    x = 46,204,980.82/7,819.20
  6. Step 6: Final answer
    x = 5,909.17

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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.