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Finding the Fourth Proportional to 8,775.48, 12,109.08 and 5,238

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Solution

The fourth proportional to 8,775.48, 12,109.08 and 5,238 is: 7,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.48 : 12,109.08 = 5,238 : x
  2. Step 2: Convert to fraction form
    8,775.48/12,109.08 = 5,238/x
  3. Step 3: Cross multiply
    8,775.48x = 12,109.08 × 5,238
  4. Step 4: Simplify right side
    8,775.48x = 63,427,361.04
  5. Step 5: Solve for x
    x = 63,427,361.04/8,775.48
  6. Step 6: Final answer
    x = 7,227.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.