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Finding the Fourth Proportional to 11,205.75, 15,468.17 and 8,809.47

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Solution

The fourth proportional to 11,205.75, 15,468.17 and 8,809.47 is: 12,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.75 : 15,468.17 = 8,809.47 : x
  2. Step 2: Convert to fraction form
    11,205.75/15,468.17 = 8,809.47/x
  3. Step 3: Cross multiply
    11,205.75x = 15,468.17 × 8,809.47
  4. Step 4: Simplify right side
    11,205.75x = 136,266,335.52
  5. Step 5: Solve for x
    x = 136,266,335.52/11,205.75
  6. Step 6: Final answer
    x = 12,160.39

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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.