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Finding the Fourth Proportional to 37,765.80, 56,659.90 and 15,580.50

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Solution

The fourth proportional to 37,765.80, 56,659.90 and 15,580.50 is: 23,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,765.80 : 56,659.90 = 15,580.50 : x
  2. Step 2: Convert to fraction form
    37,765.80/56,659.90 = 15,580.50/x
  3. Step 3: Cross multiply
    37,765.80x = 56,659.90 × 15,580.50
  4. Step 4: Simplify right side
    37,765.80x = 882,789,571.95
  5. Step 5: Solve for x
    x = 882,789,571.95/37,765.80
  6. Step 6: Final answer
    x = 23,375.37

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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.