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Finding the Fourth Proportional to 37,857, 56,786.58 and 10,155

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Solution

The fourth proportional to 37,857, 56,786.58 and 10,155 is: 15,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857 : 56,786.58 = 10,155 : x
  2. Step 2: Convert to fraction form
    37,857/56,786.58 = 10,155/x
  3. Step 3: Cross multiply
    37,857x = 56,786.58 × 10,155
  4. Step 4: Simplify right side
    37,857x = 576,667,719.90
  5. Step 5: Solve for x
    x = 576,667,719.90/37,857
  6. Step 6: Final answer
    x = 15,232.79

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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.