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Finding the Fourth Proportional to 7,078.77, 10,609.52 and 3,178.89

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Solution

The fourth proportional to 7,078.77, 10,609.52 and 3,178.89 is: 4,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.77 : 10,609.52 = 3,178.89 : x
  2. Step 2: Convert to fraction form
    7,078.77/10,609.52 = 3,178.89/x
  3. Step 3: Cross multiply
    7,078.77x = 10,609.52 × 3,178.89
  4. Step 4: Simplify right side
    7,078.77x = 33,726,481.14
  5. Step 5: Solve for x
    x = 33,726,481.14/7,078.77
  6. Step 6: Final answer
    x = 4,764.46

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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.