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Finding the Fourth Proportional to 11,511.81, 15,891.42 and 8,953.77

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Solution

The fourth proportional to 11,511.81, 15,891.42 and 8,953.77 is: 12,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.81 : 15,891.42 = 8,953.77 : x
  2. Step 2: Convert to fraction form
    11,511.81/15,891.42 = 8,953.77/x
  3. Step 3: Cross multiply
    11,511.81x = 15,891.42 × 8,953.77
  4. Step 4: Simplify right side
    11,511.81x = 142,288,119.65
  5. Step 5: Solve for x
    x = 142,288,119.65/11,511.81
  6. Step 6: Final answer
    x = 12,360.19

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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.