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Finding the Fourth Proportional to 37,851.64, 56,786.24 and 12,891.90

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Solution

The fourth proportional to 37,851.64, 56,786.24 and 12,891.90 is: 19,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,851.64 : 56,786.24 = 12,891.90 : x
  2. Step 2: Convert to fraction form
    37,851.64/56,786.24 = 12,891.90/x
  3. Step 3: Cross multiply
    37,851.64x = 56,786.24 × 12,891.90
  4. Step 4: Simplify right side
    37,851.64x = 732,082,527.46
  5. Step 5: Solve for x
    x = 732,082,527.46/37,851.64
  6. Step 6: Final answer
    x = 19,340.84

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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.