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Finding the Fourth Proportional to 12,113.94, 18,147.87 and 6,904.02

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Solution

The fourth proportional to 12,113.94, 18,147.87 and 6,904.02 is: 10,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.94 : 18,147.87 = 6,904.02 : x
  2. Step 2: Convert to fraction form
    12,113.94/18,147.87 = 6,904.02/x
  3. Step 3: Cross multiply
    12,113.94x = 18,147.87 × 6,904.02
  4. Step 4: Simplify right side
    12,113.94x = 125,293,257.44
  5. Step 5: Solve for x
    x = 125,293,257.44/12,113.94
  6. Step 6: Final answer
    x = 10,342.90

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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.