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Finding the Fourth Proportional to 4,737.24, 7,108.26 and 3,195

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Solution

The fourth proportional to 4,737.24, 7,108.26 and 3,195 is: 4,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.24 : 7,108.26 = 3,195 : x
  2. Step 2: Convert to fraction form
    4,737.24/7,108.26 = 3,195/x
  3. Step 3: Cross multiply
    4,737.24x = 7,108.26 × 3,195
  4. Step 4: Simplify right side
    4,737.24x = 22,710,890.70
  5. Step 5: Solve for x
    x = 22,710,890.70/4,737.24
  6. Step 6: Final answer
    x = 4,794.12

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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.