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Finding the Fourth Proportional to 2,470.83, 3,409.84 and 1,351.85

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Solution

The fourth proportional to 2,470.83, 3,409.84 and 1,351.85 is: 1,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.83 : 3,409.84 = 1,351.85 : x
  2. Step 2: Convert to fraction form
    2,470.83/3,409.84 = 1,351.85/x
  3. Step 3: Cross multiply
    2,470.83x = 3,409.84 × 1,351.85
  4. Step 4: Simplify right side
    2,470.83x = 4,609,585.44
  5. Step 5: Solve for x
    x = 4,609,585.44/2,470.83
  6. Step 6: Final answer
    x = 1,865.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.