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Finding the Fourth Proportional to 13,662.14, 18,853.98 and 7,612.39

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Solution

The fourth proportional to 13,662.14, 18,853.98 and 7,612.39 is: 10,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.14 : 18,853.98 = 7,612.39 : x
  2. Step 2: Convert to fraction form
    13,662.14/18,853.98 = 7,612.39/x
  3. Step 3: Cross multiply
    13,662.14x = 18,853.98 × 7,612.39
  4. Step 4: Simplify right side
    13,662.14x = 143,523,905.14
  5. Step 5: Solve for x
    x = 143,523,905.14/13,662.14
  6. Step 6: Final answer
    x = 10,505.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.