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Finding the Fourth Proportional to 37,812.80, 56,719.20 and 31,907.90

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Solution

The fourth proportional to 37,812.80, 56,719.20 and 31,907.90 is: 47,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812.80 : 56,719.20 = 31,907.90 : x
  2. Step 2: Convert to fraction form
    37,812.80/56,719.20 = 31,907.90/x
  3. Step 3: Cross multiply
    37,812.80x = 56,719.20 × 31,907.90
  4. Step 4: Simplify right side
    37,812.80x = 1,809,790,561.68
  5. Step 5: Solve for x
    x = 1,809,790,561.68/37,812.80
  6. Step 6: Final answer
    x = 47,861.85

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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.