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Finding the Fourth Proportional to 12,611, 18,920.34 and 4,403

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Solution

The fourth proportional to 12,611, 18,920.34 and 4,403 is: 6,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611 : 18,920.34 = 4,403 : x
  2. Step 2: Convert to fraction form
    12,611/18,920.34 = 4,403/x
  3. Step 3: Cross multiply
    12,611x = 18,920.34 × 4,403
  4. Step 4: Simplify right side
    12,611x = 83,306,257.02
  5. Step 5: Solve for x
    x = 83,306,257.02/12,611
  6. Step 6: Final answer
    x = 6,605.84

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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.