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Finding the Fourth Proportional to 20,664.86, 30,978.53 and 7,507.92

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Solution

The fourth proportional to 20,664.86, 30,978.53 and 7,507.92 is: 11,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,664.86 : 30,978.53 = 7,507.92 : x
  2. Step 2: Convert to fraction form
    20,664.86/30,978.53 = 7,507.92/x
  3. Step 3: Cross multiply
    20,664.86x = 30,978.53 × 7,507.92
  4. Step 4: Simplify right side
    20,664.86x = 232,584,287.42
  5. Step 5: Solve for x
    x = 232,584,287.42/20,664.86
  6. Step 6: Final answer
    x = 11,255.07

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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.