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Finding the Fourth Proportional to 20,664.14, 30,978.95 and 9,578.75

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Solution

The fourth proportional to 20,664.14, 30,978.95 and 9,578.75 is: 14,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,664.14 : 30,978.95 = 9,578.75 : x
  2. Step 2: Convert to fraction form
    20,664.14/30,978.95 = 9,578.75/x
  3. Step 3: Cross multiply
    20,664.14x = 30,978.95 × 9,578.75
  4. Step 4: Simplify right side
    20,664.14x = 296,739,414.52
  5. Step 5: Solve for x
    x = 296,739,414.52/20,664.14
  6. Step 6: Final answer
    x = 14,360.12

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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.