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Finding the Fourth Proportional to 12,308.10, 18,474.03 and 11,642.10

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Solution

The fourth proportional to 12,308.10, 18,474.03 and 11,642.10 is: 17,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.10 : 18,474.03 = 11,642.10 : x
  2. Step 2: Convert to fraction form
    12,308.10/18,474.03 = 11,642.10/x
  3. Step 3: Cross multiply
    12,308.10x = 18,474.03 × 11,642.10
  4. Step 4: Simplify right side
    12,308.10x = 215,076,504.66
  5. Step 5: Solve for x
    x = 215,076,504.66/12,308.10
  6. Step 6: Final answer
    x = 17,474.39

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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.