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Finding the Fourth Proportional to 7,978.34, 11,969.23 and 2,431.53

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Solution

The fourth proportional to 7,978.34, 11,969.23 and 2,431.53 is: 3,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.34 : 11,969.23 = 2,431.53 : x
  2. Step 2: Convert to fraction form
    7,978.34/11,969.23 = 2,431.53/x
  3. Step 3: Cross multiply
    7,978.34x = 11,969.23 × 2,431.53
  4. Step 4: Simplify right side
    7,978.34x = 29,103,529.66
  5. Step 5: Solve for x
    x = 29,103,529.66/7,978.34
  6. Step 6: Final answer
    x = 3,647.82

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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.