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Finding the Fourth Proportional to 12,331, 18,493.02 and 4,009.24

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Solution

The fourth proportional to 12,331, 18,493.02 and 4,009.24 is: 6,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331 : 18,493.02 = 4,009.24 : x
  2. Step 2: Convert to fraction form
    12,331/18,493.02 = 4,009.24/x
  3. Step 3: Cross multiply
    12,331x = 18,493.02 × 4,009.24
  4. Step 4: Simplify right side
    12,331x = 74,142,955.50
  5. Step 5: Solve for x
    x = 74,142,955.50/12,331
  6. Step 6: Final answer
    x = 6,012.73

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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.