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Finding the Fourth Proportional to 11,941, 16,478.58 and 8,221.48

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Solution

The fourth proportional to 11,941, 16,478.58 and 8,221.48 is: 11,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941 : 16,478.58 = 8,221.48 : x
  2. Step 2: Convert to fraction form
    11,941/16,478.58 = 8,221.48/x
  3. Step 3: Cross multiply
    11,941x = 16,478.58 × 8,221.48
  4. Step 4: Simplify right side
    11,941x = 135,478,315.90
  5. Step 5: Solve for x
    x = 135,478,315.90/11,941
  6. Step 6: Final answer
    x = 11,345.64

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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.