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Finding the Fourth Proportional to 7,777.42, 11,674.63 and 4,078.65

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Solution

The fourth proportional to 7,777.42, 11,674.63 and 4,078.65 is: 6,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.42 : 11,674.63 = 4,078.65 : x
  2. Step 2: Convert to fraction form
    7,777.42/11,674.63 = 4,078.65/x
  3. Step 3: Cross multiply
    7,777.42x = 11,674.63 × 4,078.65
  4. Step 4: Simplify right side
    7,777.42x = 47,616,778.53
  5. Step 5: Solve for x
    x = 47,616,778.53/7,777.42
  6. Step 6: Final answer
    x = 6,122.44

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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.