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Finding the Fourth Proportional to 2,864.57, 4,293.81 and 1,821.29

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Solution

The fourth proportional to 2,864.57, 4,293.81 and 1,821.29 is: 2,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.57 : 4,293.81 = 1,821.29 : x
  2. Step 2: Convert to fraction form
    2,864.57/4,293.81 = 1,821.29/x
  3. Step 3: Cross multiply
    2,864.57x = 4,293.81 × 1,821.29
  4. Step 4: Simplify right side
    2,864.57x = 7,820,251.75
  5. Step 5: Solve for x
    x = 7,820,251.75/2,864.57
  6. Step 6: Final answer
    x = 2,730.00

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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.