Home / 5,238-7,856.93-2,462.74

Finding the Fourth Proportional to 5,238, 7,856.93 and 2,462.74

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Solution

The fourth proportional to 5,238, 7,856.93 and 2,462.74 is: 3,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 7,856.93 = 2,462.74 : x
  2. Step 2: Convert to fraction form
    5,238/7,856.93 = 2,462.74/x
  3. Step 3: Cross multiply
    5,238x = 7,856.93 × 2,462.74
  4. Step 4: Simplify right side
    5,238x = 19,349,562.30
  5. Step 5: Solve for x
    x = 19,349,562.30/5,238
  6. Step 6: Final answer
    x = 3,694.07

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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.