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Finding the Fourth Proportional to 9,586.88, 13,230.18 and 5,221.49

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Solution

The fourth proportional to 9,586.88, 13,230.18 and 5,221.49 is: 7,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.88 : 13,230.18 = 5,221.49 : x
  2. Step 2: Convert to fraction form
    9,586.88/13,230.18 = 5,221.49/x
  3. Step 3: Cross multiply
    9,586.88x = 13,230.18 × 5,221.49
  4. Step 4: Simplify right side
    9,586.88x = 69,081,252.57
  5. Step 5: Solve for x
    x = 69,081,252.57/9,586.88
  6. Step 6: Final answer
    x = 7,205.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.