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Finding the Fourth Proportional to 20,658.56, 30,994.86 and 7,512

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Solution

The fourth proportional to 20,658.56, 30,994.86 and 7,512 is: 11,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.56 : 30,994.86 = 7,512 : x
  2. Step 2: Convert to fraction form
    20,658.56/30,994.86 = 7,512/x
  3. Step 3: Cross multiply
    20,658.56x = 30,994.86 × 7,512
  4. Step 4: Simplify right side
    20,658.56x = 232,833,388.32
  5. Step 5: Solve for x
    x = 232,833,388.32/20,658.56
  6. Step 6: Final answer
    x = 11,270.55

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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.