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Finding the Fourth Proportional to 12,884.57, 17,777.26 and 7,778.83

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Solution

The fourth proportional to 12,884.57, 17,777.26 and 7,778.83 is: 10,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.57 : 17,777.26 = 7,778.83 : x
  2. Step 2: Convert to fraction form
    12,884.57/17,777.26 = 7,778.83/x
  3. Step 3: Cross multiply
    12,884.57x = 17,777.26 × 7,778.83
  4. Step 4: Simplify right side
    12,884.57x = 138,286,244.51
  5. Step 5: Solve for x
    x = 138,286,244.51/12,884.57
  6. Step 6: Final answer
    x = 10,732.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.