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Finding the Fourth Proportional to 2,470.96, 3,409.10 and 1,407.97

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Solution

The fourth proportional to 2,470.96, 3,409.10 and 1,407.97 is: 1,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.96 : 3,409.10 = 1,407.97 : x
  2. Step 2: Convert to fraction form
    2,470.96/3,409.10 = 1,407.97/x
  3. Step 3: Cross multiply
    2,470.96x = 3,409.10 × 1,407.97
  4. Step 4: Simplify right side
    2,470.96x = 4,799,918.66
  5. Step 5: Solve for x
    x = 4,799,918.66/2,470.96
  6. Step 6: Final answer
    x = 1,942.54

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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.