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Finding the Fourth Proportional to 7,819.64, 11,728.24 and 2,888.16

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Solution

The fourth proportional to 7,819.64, 11,728.24 and 2,888.16 is: 4,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.64 : 11,728.24 = 2,888.16 : x
  2. Step 2: Convert to fraction form
    7,819.64/11,728.24 = 2,888.16/x
  3. Step 3: Cross multiply
    7,819.64x = 11,728.24 × 2,888.16
  4. Step 4: Simplify right side
    7,819.64x = 33,873,033.64
  5. Step 5: Solve for x
    x = 33,873,033.64/7,819.64
  6. Step 6: Final answer
    x = 4,331.79

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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.