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Finding the Fourth Proportional to 8,275.50, 11,420.19 and 5,481

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Solution

The fourth proportional to 8,275.50, 11,420.19 and 5,481 is: 7,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.50 : 11,420.19 = 5,481 : x
  2. Step 2: Convert to fraction form
    8,275.50/11,420.19 = 5,481/x
  3. Step 3: Cross multiply
    8,275.50x = 11,420.19 × 5,481
  4. Step 4: Simplify right side
    8,275.50x = 62,594,061.39
  5. Step 5: Solve for x
    x = 62,594,061.39/8,275.50
  6. Step 6: Final answer
    x = 7,563.78

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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.