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Finding the Fourth Proportional to 9,819.28, 13,550.36 and 5,627.28

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Solution

The fourth proportional to 9,819.28, 13,550.36 and 5,627.28 is: 7,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.28 : 13,550.36 = 5,627.28 : x
  2. Step 2: Convert to fraction form
    9,819.28/13,550.36 = 5,627.28/x
  3. Step 3: Cross multiply
    9,819.28x = 13,550.36 × 5,627.28
  4. Step 4: Simplify right side
    9,819.28x = 76,251,669.82
  5. Step 5: Solve for x
    x = 76,251,669.82/9,819.28
  6. Step 6: Final answer
    x = 7,765.51

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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.