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Finding the Fourth Proportional to 2,798.79, 4,196.13 and 1,411.48

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Solution

The fourth proportional to 2,798.79, 4,196.13 and 1,411.48 is: 2,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.79 : 4,196.13 = 1,411.48 : x
  2. Step 2: Convert to fraction form
    2,798.79/4,196.13 = 1,411.48/x
  3. Step 3: Cross multiply
    2,798.79x = 4,196.13 × 1,411.48
  4. Step 4: Simplify right side
    2,798.79x = 5,922,753.57
  5. Step 5: Solve for x
    x = 5,922,753.57/2,798.79
  6. Step 6: Final answer
    x = 2,116.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.