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Finding the Fourth Proportional to 5,909.12, 8,865.12 and 2,211.52

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Solution

The fourth proportional to 5,909.12, 8,865.12 and 2,211.52 is: 3,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.12 : 8,865.12 = 2,211.52 : x
  2. Step 2: Convert to fraction form
    5,909.12/8,865.12 = 2,211.52/x
  3. Step 3: Cross multiply
    5,909.12x = 8,865.12 × 2,211.52
  4. Step 4: Simplify right side
    5,909.12x = 19,605,390.18
  5. Step 5: Solve for x
    x = 19,605,390.18/5,909.12
  6. Step 6: Final answer
    x = 3,317.82

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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.