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Finding the Fourth Proportional to 2,470.81, 3,409.82 and 1,351.83

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Solution

The fourth proportional to 2,470.81, 3,409.82 and 1,351.83 is: 1,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.81 : 3,409.82 = 1,351.83 : x
  2. Step 2: Convert to fraction form
    2,470.81/3,409.82 = 1,351.83/x
  3. Step 3: Cross multiply
    2,470.81x = 3,409.82 × 1,351.83
  4. Step 4: Simplify right side
    2,470.81x = 4,609,496.97
  5. Step 5: Solve for x
    x = 4,609,496.97/2,470.81
  6. Step 6: Final answer
    x = 1,865.58

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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.