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Finding the Fourth Proportional to 11,572.83, 15,986.84 and 9,211.95

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Solution

The fourth proportional to 11,572.83, 15,986.84 and 9,211.95 is: 12,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.83 : 15,986.84 = 9,211.95 : x
  2. Step 2: Convert to fraction form
    11,572.83/15,986.84 = 9,211.95/x
  3. Step 3: Cross multiply
    11,572.83x = 15,986.84 × 9,211.95
  4. Step 4: Simplify right side
    11,572.83x = 147,269,924.68
  5. Step 5: Solve for x
    x = 147,269,924.68/11,572.83
  6. Step 6: Final answer
    x = 12,725.49

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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.