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Finding the Fourth Proportional to 8,122.65, 11,209.11 and 4,537.65

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Solution

The fourth proportional to 8,122.65, 11,209.11 and 4,537.65 is: 6,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.65 : 11,209.11 = 4,537.65 : x
  2. Step 2: Convert to fraction form
    8,122.65/11,209.11 = 4,537.65/x
  3. Step 3: Cross multiply
    8,122.65x = 11,209.11 × 4,537.65
  4. Step 4: Simplify right side
    8,122.65x = 50,863,017.99
  5. Step 5: Solve for x
    x = 50,863,017.99/8,122.65
  6. Step 6: Final answer
    x = 6,261.87

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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.