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Finding the Fourth Proportional to 15,151.21, 22,712.79 and 7,739.33

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Solution

The fourth proportional to 15,151.21, 22,712.79 and 7,739.33 is: 11,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.21 : 22,712.79 = 7,739.33 : x
  2. Step 2: Convert to fraction form
    15,151.21/22,712.79 = 7,739.33/x
  3. Step 3: Cross multiply
    15,151.21x = 22,712.79 × 7,739.33
  4. Step 4: Simplify right side
    15,151.21x = 175,781,648.96
  5. Step 5: Solve for x
    x = 175,781,648.96/15,151.21
  6. Step 6: Final answer
    x = 11,601.82

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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.