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Finding the Fourth Proportional to 9,486, 14,229 and 3,325.68

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Solution

The fourth proportional to 9,486, 14,229 and 3,325.68 is: 4,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486 : 14,229 = 3,325.68 : x
  2. Step 2: Convert to fraction form
    9,486/14,229 = 3,325.68/x
  3. Step 3: Cross multiply
    9,486x = 14,229 × 3,325.68
  4. Step 4: Simplify right side
    9,486x = 47,321,100.72
  5. Step 5: Solve for x
    x = 47,321,100.72/9,486
  6. Step 6: Final answer
    x = 4,988.52

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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.