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Finding the Fourth Proportional to 7,658.77, 11,478.36 and 6,667.54

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Solution

The fourth proportional to 7,658.77, 11,478.36 and 6,667.54 is: 9,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.77 : 11,478.36 = 6,667.54 : x
  2. Step 2: Convert to fraction form
    7,658.77/11,478.36 = 6,667.54/x
  3. Step 3: Cross multiply
    7,658.77x = 11,478.36 × 6,667.54
  4. Step 4: Simplify right side
    7,658.77x = 76,532,424.43
  5. Step 5: Solve for x
    x = 76,532,424.43/7,658.77
  6. Step 6: Final answer
    x = 9,992.78

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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.