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Finding the Fourth Proportional to 12,134.60, 18,204.60 and 4,738.40

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Solution

The fourth proportional to 12,134.60, 18,204.60 and 4,738.40 is: 7,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.60 : 18,204.60 = 4,738.40 : x
  2. Step 2: Convert to fraction form
    12,134.60/18,204.60 = 4,738.40/x
  3. Step 3: Cross multiply
    12,134.60x = 18,204.60 × 4,738.40
  4. Step 4: Simplify right side
    12,134.60x = 86,260,676.64
  5. Step 5: Solve for x
    x = 86,260,676.64/12,134.60
  6. Step 6: Final answer
    x = 7,108.65

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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.