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Finding the Fourth Proportional to 7,778.56, 11,659.72 and 3,394.84

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Solution

The fourth proportional to 7,778.56, 11,659.72 and 3,394.84 is: 5,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.56 : 11,659.72 = 3,394.84 : x
  2. Step 2: Convert to fraction form
    7,778.56/11,659.72 = 3,394.84/x
  3. Step 3: Cross multiply
    7,778.56x = 11,659.72 × 3,394.84
  4. Step 4: Simplify right side
    7,778.56x = 39,582,883.84
  5. Step 5: Solve for x
    x = 39,582,883.84/7,778.56
  6. Step 6: Final answer
    x = 5,088.72

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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.