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Finding the Fourth Proportional to 12,219.66, 18,321.27 and 5,642.22

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Solution

The fourth proportional to 12,219.66, 18,321.27 and 5,642.22 is: 8,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.66 : 18,321.27 = 5,642.22 : x
  2. Step 2: Convert to fraction form
    12,219.66/18,321.27 = 5,642.22/x
  3. Step 3: Cross multiply
    12,219.66x = 18,321.27 × 5,642.22
  4. Step 4: Simplify right side
    12,219.66x = 103,372,636.02
  5. Step 5: Solve for x
    x = 103,372,636.02/12,219.66
  6. Step 6: Final answer
    x = 8,459.53

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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.