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Finding the Fourth Proportional to 2,969.92, 4,454.79 and 1,411.05

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Solution

The fourth proportional to 2,969.92, 4,454.79 and 1,411.05 is: 2,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.92 : 4,454.79 = 1,411.05 : x
  2. Step 2: Convert to fraction form
    2,969.92/4,454.79 = 1,411.05/x
  3. Step 3: Cross multiply
    2,969.92x = 4,454.79 × 1,411.05
  4. Step 4: Simplify right side
    2,969.92x = 6,285,914.72
  5. Step 5: Solve for x
    x = 6,285,914.72/2,969.92
  6. Step 6: Final answer
    x = 2,116.53

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Why These Related Problems?

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