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Finding the Fourth Proportional to 9,329.76, 13,991.52 and 3,781.44

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Solution

The fourth proportional to 9,329.76, 13,991.52 and 3,781.44 is: 5,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.76 : 13,991.52 = 3,781.44 : x
  2. Step 2: Convert to fraction form
    9,329.76/13,991.52 = 3,781.44/x
  3. Step 3: Cross multiply
    9,329.76x = 13,991.52 × 3,781.44
  4. Step 4: Simplify right side
    9,329.76x = 52,908,093.39
  5. Step 5: Solve for x
    x = 52,908,093.39/9,329.76
  6. Step 6: Final answer
    x = 5,670.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.