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Finding the Fourth Proportional to 10,411.77, 15,619.03 and 5,481.68

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Solution

The fourth proportional to 10,411.77, 15,619.03 and 5,481.68 is: 8,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.77 : 15,619.03 = 5,481.68 : x
  2. Step 2: Convert to fraction form
    10,411.77/15,619.03 = 5,481.68/x
  3. Step 3: Cross multiply
    10,411.77x = 15,619.03 × 5,481.68
  4. Step 4: Simplify right side
    10,411.77x = 85,618,552.79
  5. Step 5: Solve for x
    x = 85,618,552.79/10,411.77
  6. Step 6: Final answer
    x = 8,223.24

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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.