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Finding the Fourth Proportional to 12,349.50, 18,524.28 and 3,115.50

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Solution

The fourth proportional to 12,349.50, 18,524.28 and 3,115.50 is: 4,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.50 : 18,524.28 = 3,115.50 : x
  2. Step 2: Convert to fraction form
    12,349.50/18,524.28 = 3,115.50/x
  3. Step 3: Cross multiply
    12,349.50x = 18,524.28 × 3,115.50
  4. Step 4: Simplify right side
    12,349.50x = 57,712,394.34
  5. Step 5: Solve for x
    x = 57,712,394.34/12,349.50
  6. Step 6: Final answer
    x = 4,673.26

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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.