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Finding the Fourth Proportional to 12,611.91, 18,871.15 and 7,894.33

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Solution

The fourth proportional to 12,611.91, 18,871.15 and 7,894.33 is: 11,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.91 : 18,871.15 = 7,894.33 : x
  2. Step 2: Convert to fraction form
    12,611.91/18,871.15 = 7,894.33/x
  3. Step 3: Cross multiply
    12,611.91x = 18,871.15 × 7,894.33
  4. Step 4: Simplify right side
    12,611.91x = 148,975,033.47
  5. Step 5: Solve for x
    x = 148,975,033.47/12,611.91
  6. Step 6: Final answer
    x = 11,812.25

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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.