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Finding the Fourth Proportional to 3,470.64, 5,203.08 and 1,620.78

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Solution

The fourth proportional to 3,470.64, 5,203.08 and 1,620.78 is: 2,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.64 : 5,203.08 = 1,620.78 : x
  2. Step 2: Convert to fraction form
    3,470.64/5,203.08 = 1,620.78/x
  3. Step 3: Cross multiply
    3,470.64x = 5,203.08 × 1,620.78
  4. Step 4: Simplify right side
    3,470.64x = 8,433,048.00
  5. Step 5: Solve for x
    x = 8,433,048.00/3,470.64
  6. Step 6: Final answer
    x = 2,429.83

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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.