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Finding the Fourth Proportional to 3,438.63, 5,152.21 and 3,310.65

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Solution

The fourth proportional to 3,438.63, 5,152.21 and 3,310.65 is: 4,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.63 : 5,152.21 = 3,310.65 : x
  2. Step 2: Convert to fraction form
    3,438.63/5,152.21 = 3,310.65/x
  3. Step 3: Cross multiply
    3,438.63x = 5,152.21 × 3,310.65
  4. Step 4: Simplify right side
    3,438.63x = 17,057,155.76
  5. Step 5: Solve for x
    x = 17,057,155.76/3,438.63
  6. Step 6: Final answer
    x = 4,960.45

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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.