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Finding the Fourth Proportional to 10,909.44, 16,364.16 and 3,991.68

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Solution

The fourth proportional to 10,909.44, 16,364.16 and 3,991.68 is: 5,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.44 : 16,364.16 = 3,991.68 : x
  2. Step 2: Convert to fraction form
    10,909.44/16,364.16 = 3,991.68/x
  3. Step 3: Cross multiply
    10,909.44x = 16,364.16 × 3,991.68
  4. Step 4: Simplify right side
    10,909.44x = 65,320,490.19
  5. Step 5: Solve for x
    x = 65,320,490.19/10,909.44
  6. Step 6: Final answer
    x = 5,987.52

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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.