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Finding the Fourth Proportional to 11,506.71, 15,860.11 and 8,145.21

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Solution

The fourth proportional to 11,506.71, 15,860.11 and 8,145.21 is: 11,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.71 : 15,860.11 = 8,145.21 : x
  2. Step 2: Convert to fraction form
    11,506.71/15,860.11 = 8,145.21/x
  3. Step 3: Cross multiply
    11,506.71x = 15,860.11 × 8,145.21
  4. Step 4: Simplify right side
    11,506.71x = 129,183,926.57
  5. Step 5: Solve for x
    x = 129,183,926.57/11,506.71
  6. Step 6: Final answer
    x = 11,226.83

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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.