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Finding the Fourth Proportional to 15,201.09, 20,978.44 and 8,486.71

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Solution

The fourth proportional to 15,201.09, 20,978.44 and 8,486.71 is: 11,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.09 : 20,978.44 = 8,486.71 : x
  2. Step 2: Convert to fraction form
    15,201.09/20,978.44 = 8,486.71/x
  3. Step 3: Cross multiply
    15,201.09x = 20,978.44 × 8,486.71
  4. Step 4: Simplify right side
    15,201.09x = 178,037,862.87
  5. Step 5: Solve for x
    x = 178,037,862.87/15,201.09
  6. Step 6: Final answer
    x = 11,712.18

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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.