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Finding the Fourth Proportional to 12,220.16, 18,321.92 and 5,642.72

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Solution

The fourth proportional to 12,220.16, 18,321.92 and 5,642.72 is: 8,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.16 : 18,321.92 = 5,642.72 : x
  2. Step 2: Convert to fraction form
    12,220.16/18,321.92 = 5,642.72/x
  3. Step 3: Cross multiply
    12,220.16x = 18,321.92 × 5,642.72
  4. Step 4: Simplify right side
    12,220.16x = 103,385,464.42
  5. Step 5: Solve for x
    x = 103,385,464.42/12,220.16
  6. Step 6: Final answer
    x = 8,460.24

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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.