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Finding the Fourth Proportional to 8,983.71, 13,481.72 and 3,140.32

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Solution

The fourth proportional to 8,983.71, 13,481.72 and 3,140.32 is: 4,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.71 : 13,481.72 = 3,140.32 : x
  2. Step 2: Convert to fraction form
    8,983.71/13,481.72 = 3,140.32/x
  3. Step 3: Cross multiply
    8,983.71x = 13,481.72 × 3,140.32
  4. Step 4: Simplify right side
    8,983.71x = 42,336,914.95
  5. Step 5: Solve for x
    x = 42,336,914.95/8,983.71
  6. Step 6: Final answer
    x = 4,712.63

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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.