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Finding the Fourth Proportional to 9,166.40, 13,737.15 and 3,894.80

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Solution

The fourth proportional to 9,166.40, 13,737.15 and 3,894.80 is: 5,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.40 : 13,737.15 = 3,894.80 : x
  2. Step 2: Convert to fraction form
    9,166.40/13,737.15 = 3,894.80/x
  3. Step 3: Cross multiply
    9,166.40x = 13,737.15 × 3,894.80
  4. Step 4: Simplify right side
    9,166.40x = 53,503,383.13
  5. Step 5: Solve for x
    x = 53,503,383.13/9,166.40
  6. Step 6: Final answer
    x = 5,836.91

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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.