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Finding the Fourth Proportional to 12,137.20, 18,202.20 and 4,737.40

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Solution

The fourth proportional to 12,137.20, 18,202.20 and 4,737.40 is: 7,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.20 : 18,202.20 = 4,737.40 : x
  2. Step 2: Convert to fraction form
    12,137.20/18,202.20 = 4,737.40/x
  3. Step 3: Cross multiply
    12,137.20x = 18,202.20 × 4,737.40
  4. Step 4: Simplify right side
    12,137.20x = 86,231,102.28
  5. Step 5: Solve for x
    x = 86,231,102.28/12,137.20
  6. Step 6: Final answer
    x = 7,104.69

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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.