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Finding the Fourth Proportional to 15,023.82, 20,735.38 and 8,739.84

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Solution

The fourth proportional to 15,023.82, 20,735.38 and 8,739.84 is: 12,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.82 : 20,735.38 = 8,739.84 : x
  2. Step 2: Convert to fraction form
    15,023.82/20,735.38 = 8,739.84/x
  3. Step 3: Cross multiply
    15,023.82x = 20,735.38 × 8,739.84
  4. Step 4: Simplify right side
    15,023.82x = 181,223,903.54
  5. Step 5: Solve for x
    x = 181,223,903.54/15,023.82
  6. Step 6: Final answer
    x = 12,062.44

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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.