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Finding the Fourth Proportional to 7,901.96, 11,854.22 and 2,971.98

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Solution

The fourth proportional to 7,901.96, 11,854.22 and 2,971.98 is: 4,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.96 : 11,854.22 = 2,971.98 : x
  2. Step 2: Convert to fraction form
    7,901.96/11,854.22 = 2,971.98/x
  3. Step 3: Cross multiply
    7,901.96x = 11,854.22 × 2,971.98
  4. Step 4: Simplify right side
    7,901.96x = 35,230,489.90
  5. Step 5: Solve for x
    x = 35,230,489.90/7,901.96
  6. Step 6: Final answer
    x = 4,458.45

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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.