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Finding the Fourth Proportional to 8,005.11, 12,007.71 and 5,249.22

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Solution

The fourth proportional to 8,005.11, 12,007.71 and 5,249.22 is: 7,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.11 : 12,007.71 = 5,249.22 : x
  2. Step 2: Convert to fraction form
    8,005.11/12,007.71 = 5,249.22/x
  3. Step 3: Cross multiply
    8,005.11x = 12,007.71 × 5,249.22
  4. Step 4: Simplify right side
    8,005.11x = 63,031,111.49
  5. Step 5: Solve for x
    x = 63,031,111.49/8,005.11
  6. Step 6: Final answer
    x = 7,873.86

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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.