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Finding the Fourth Proportional to 11,909.79, 17,840.88 and 5,675.85

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Solution

The fourth proportional to 11,909.79, 17,840.88 and 5,675.85 is: 8,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.79 : 17,840.88 = 5,675.85 : x
  2. Step 2: Convert to fraction form
    11,909.79/17,840.88 = 5,675.85/x
  3. Step 3: Cross multiply
    11,909.79x = 17,840.88 × 5,675.85
  4. Step 4: Simplify right side
    11,909.79x = 101,262,158.75
  5. Step 5: Solve for x
    x = 101,262,158.75/11,909.79
  6. Step 6: Final answer
    x = 8,502.43

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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.