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Finding the Fourth Proportional to 9,914.80, 14,874 and 4,986.88

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Solution

The fourth proportional to 9,914.80, 14,874 and 4,986.88 is: 7,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.80 : 14,874 = 4,986.88 : x
  2. Step 2: Convert to fraction form
    9,914.80/14,874 = 4,986.88/x
  3. Step 3: Cross multiply
    9,914.80x = 14,874 × 4,986.88
  4. Step 4: Simplify right side
    9,914.80x = 74,174,853.12
  5. Step 5: Solve for x
    x = 74,174,853.12/9,914.80
  6. Step 6: Final answer
    x = 7,481.23

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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.