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Finding the Fourth Proportional to 7,758.79, 11,633.93 and 3,074.05

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Solution

The fourth proportional to 7,758.79, 11,633.93 and 3,074.05 is: 4,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.79 : 11,633.93 = 3,074.05 : x
  2. Step 2: Convert to fraction form
    7,758.79/11,633.93 = 3,074.05/x
  3. Step 3: Cross multiply
    7,758.79x = 11,633.93 × 3,074.05
  4. Step 4: Simplify right side
    7,758.79x = 35,763,293.22
  5. Step 5: Solve for x
    x = 35,763,293.22/7,758.79
  6. Step 6: Final answer
    x = 4,609.39

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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.