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Finding the Fourth Proportional to 10,195, 15,294.70 and 3,174.87

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Solution

The fourth proportional to 10,195, 15,294.70 and 3,174.87 is: 4,762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195 : 15,294.70 = 3,174.87 : x
  2. Step 2: Convert to fraction form
    10,195/15,294.70 = 3,174.87/x
  3. Step 3: Cross multiply
    10,195x = 15,294.70 × 3,174.87
  4. Step 4: Simplify right side
    10,195x = 48,558,684.19
  5. Step 5: Solve for x
    x = 48,558,684.19/10,195
  6. Step 6: Final answer
    x = 4,762.99

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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.