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Finding the Fourth Proportional to 9,388.65, 14,080.86 and 2,814

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Solution

The fourth proportional to 9,388.65, 14,080.86 and 2,814 is: 4,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.65 : 14,080.86 = 2,814 : x
  2. Step 2: Convert to fraction form
    9,388.65/14,080.86 = 2,814/x
  3. Step 3: Cross multiply
    9,388.65x = 14,080.86 × 2,814
  4. Step 4: Simplify right side
    9,388.65x = 39,623,540.04
  5. Step 5: Solve for x
    x = 39,623,540.04/9,388.65
  6. Step 6: Final answer
    x = 4,220.37

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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.