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Finding the Fourth Proportional to 8,212.11, 11,314.04 and 7,658.07

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Solution

The fourth proportional to 8,212.11, 11,314.04 and 7,658.07 is: 10,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.11 : 11,314.04 = 7,658.07 : x
  2. Step 2: Convert to fraction form
    8,212.11/11,314.04 = 7,658.07/x
  3. Step 3: Cross multiply
    8,212.11x = 11,314.04 × 7,658.07
  4. Step 4: Simplify right side
    8,212.11x = 86,643,710.30
  5. Step 5: Solve for x
    x = 86,643,710.30/8,212.11
  6. Step 6: Final answer
    x = 10,550.72

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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.