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Finding the Fourth Proportional to 7,866.72, 11,799.81 and 2,319.84

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Solution

The fourth proportional to 7,866.72, 11,799.81 and 2,319.84 is: 3,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.72 : 11,799.81 = 2,319.84 : x
  2. Step 2: Convert to fraction form
    7,866.72/11,799.81 = 2,319.84/x
  3. Step 3: Cross multiply
    7,866.72x = 11,799.81 × 2,319.84
  4. Step 4: Simplify right side
    7,866.72x = 27,373,659.63
  5. Step 5: Solve for x
    x = 27,373,659.63/7,866.72
  6. Step 6: Final answer
    x = 3,479.68

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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.