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Finding the Fourth Proportional to 2,515.08, 3,470.82 and 1,411.08

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Solution

The fourth proportional to 2,515.08, 3,470.82 and 1,411.08 is: 1,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.08 : 3,470.82 = 1,411.08 : x
  2. Step 2: Convert to fraction form
    2,515.08/3,470.82 = 1,411.08/x
  3. Step 3: Cross multiply
    2,515.08x = 3,470.82 × 1,411.08
  4. Step 4: Simplify right side
    2,515.08x = 4,897,604.69
  5. Step 5: Solve for x
    x = 4,897,604.69/2,515.08
  6. Step 6: Final answer
    x = 1,947.30

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