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Finding the Fourth Proportional to 8,775.54, 12,108.15 and 5,238

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Solution

The fourth proportional to 8,775.54, 12,108.15 and 5,238 is: 7,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.54 : 12,108.15 = 5,238 : x
  2. Step 2: Convert to fraction form
    8,775.54/12,108.15 = 5,238/x
  3. Step 3: Cross multiply
    8,775.54x = 12,108.15 × 5,238
  4. Step 4: Simplify right side
    8,775.54x = 63,422,489.70
  5. Step 5: Solve for x
    x = 63,422,489.70/8,775.54
  6. Step 6: Final answer
    x = 7,227.19

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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.