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Finding the Fourth Proportional to 9,489.61, 14,231.19 and 4,491.25

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Solution

The fourth proportional to 9,489.61, 14,231.19 and 4,491.25 is: 6,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.61 : 14,231.19 = 4,491.25 : x
  2. Step 2: Convert to fraction form
    9,489.61/14,231.19 = 4,491.25/x
  3. Step 3: Cross multiply
    9,489.61x = 14,231.19 × 4,491.25
  4. Step 4: Simplify right side
    9,489.61x = 63,915,813.35
  5. Step 5: Solve for x
    x = 63,915,813.35/9,489.61
  6. Step 6: Final answer
    x = 6,735.35

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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.