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Finding the Fourth Proportional to 15,197.76, 20,971.44 and 8,482.86

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Solution

The fourth proportional to 15,197.76, 20,971.44 and 8,482.86 is: 11,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.76 : 20,971.44 = 8,482.86 : x
  2. Step 2: Convert to fraction form
    15,197.76/20,971.44 = 8,482.86/x
  3. Step 3: Cross multiply
    15,197.76x = 20,971.44 × 8,482.86
  4. Step 4: Simplify right side
    15,197.76x = 177,897,789.52
  5. Step 5: Solve for x
    x = 177,897,789.52/15,197.76
  6. Step 6: Final answer
    x = 11,705.53

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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.