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Finding the Fourth Proportional to 5,611, 8,416.50 and 2,148.34

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Solution

The fourth proportional to 5,611, 8,416.50 and 2,148.34 is: 3,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611 : 8,416.50 = 2,148.34 : x
  2. Step 2: Convert to fraction form
    5,611/8,416.50 = 2,148.34/x
  3. Step 3: Cross multiply
    5,611x = 8,416.50 × 2,148.34
  4. Step 4: Simplify right side
    5,611x = 18,081,503.61
  5. Step 5: Solve for x
    x = 18,081,503.61/5,611
  6. Step 6: Final answer
    x = 3,222.51

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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.