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Finding the Fourth Proportional to 37,047.78, 55,571.70 and 12,423.78

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Solution

The fourth proportional to 37,047.78, 55,571.70 and 12,423.78 is: 18,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,047.78 : 55,571.70 = 12,423.78 : x
  2. Step 2: Convert to fraction form
    37,047.78/55,571.70 = 12,423.78/x
  3. Step 3: Cross multiply
    37,047.78x = 55,571.70 × 12,423.78
  4. Step 4: Simplify right side
    37,047.78x = 690,410,575.03
  5. Step 5: Solve for x
    x = 690,410,575.03/37,047.78
  6. Step 6: Final answer
    x = 18,635.68

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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.