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Finding the Fourth Proportional to 20,642.96, 30,965.64 and 7,496.72

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Solution

The fourth proportional to 20,642.96, 30,965.64 and 7,496.72 is: 11,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.96 : 30,965.64 = 7,496.72 : x
  2. Step 2: Convert to fraction form
    20,642.96/30,965.64 = 7,496.72/x
  3. Step 3: Cross multiply
    20,642.96x = 30,965.64 × 7,496.72
  4. Step 4: Simplify right side
    20,642.96x = 232,140,732.70
  5. Step 5: Solve for x
    x = 232,140,732.70/20,642.96
  6. Step 6: Final answer
    x = 11,245.52

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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.