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Finding the Fourth Proportional to 8,216.66, 11,339 and 4,490.66

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Solution

The fourth proportional to 8,216.66, 11,339 and 4,490.66 is: 6,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.66 : 11,339 = 4,490.66 : x
  2. Step 2: Convert to fraction form
    8,216.66/11,339 = 4,490.66/x
  3. Step 3: Cross multiply
    8,216.66x = 11,339 × 4,490.66
  4. Step 4: Simplify right side
    8,216.66x = 50,919,593.74
  5. Step 5: Solve for x
    x = 50,919,593.74/8,216.66
  6. Step 6: Final answer
    x = 6,197.12

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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.