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Finding the Fourth Proportional to 37,243.47, 55,853.36 and 12,278.87

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Solution

The fourth proportional to 37,243.47, 55,853.36 and 12,278.87 is: 18,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,243.47 : 55,853.36 = 12,278.87 : x
  2. Step 2: Convert to fraction form
    37,243.47/55,853.36 = 12,278.87/x
  3. Step 3: Cross multiply
    37,243.47x = 55,853.36 × 12,278.87
  4. Step 4: Simplify right side
    37,243.47x = 685,816,146.50
  5. Step 5: Solve for x
    x = 685,816,146.50/37,243.47
  6. Step 6: Final answer
    x = 18,414.40

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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.