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Finding the Fourth Proportional to 9,918, 14,883.84 and 3,762

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Solution

The fourth proportional to 9,918, 14,883.84 and 3,762 is: 5,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918 : 14,883.84 = 3,762 : x
  2. Step 2: Convert to fraction form
    9,918/14,883.84 = 3,762/x
  3. Step 3: Cross multiply
    9,918x = 14,883.84 × 3,762
  4. Step 4: Simplify right side
    9,918x = 55,993,006.08
  5. Step 5: Solve for x
    x = 55,993,006.08/9,918
  6. Step 6: Final answer
    x = 5,645.59

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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.