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Finding the Fourth Proportional to 18,603.12, 27,909.52 and 8,222.16

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Solution

The fourth proportional to 18,603.12, 27,909.52 and 8,222.16 is: 12,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,603.12 : 27,909.52 = 8,222.16 : x
  2. Step 2: Convert to fraction form
    18,603.12/27,909.52 = 8,222.16/x
  3. Step 3: Cross multiply
    18,603.12x = 27,909.52 × 8,222.16
  4. Step 4: Simplify right side
    18,603.12x = 229,476,538.96
  5. Step 5: Solve for x
    x = 229,476,538.96/18,603.12
  6. Step 6: Final answer
    x = 12,335.38

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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.