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Finding the Fourth Proportional to 8,737.60, 13,108.60 and 3,194

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Solution

The fourth proportional to 8,737.60, 13,108.60 and 3,194 is: 4,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.60 : 13,108.60 = 3,194 : x
  2. Step 2: Convert to fraction form
    8,737.60/13,108.60 = 3,194/x
  3. Step 3: Cross multiply
    8,737.60x = 13,108.60 × 3,194
  4. Step 4: Simplify right side
    8,737.60x = 41,868,868.40
  5. Step 5: Solve for x
    x = 41,868,868.40/8,737.60
  6. Step 6: Final answer
    x = 4,791.80

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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.