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Finding the Fourth Proportional to 2,800.15, 3,864.22 and 1,541.33

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Solution

The fourth proportional to 2,800.15, 3,864.22 and 1,541.33 is: 2,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.15 : 3,864.22 = 1,541.33 : x
  2. Step 2: Convert to fraction form
    2,800.15/3,864.22 = 1,541.33/x
  3. Step 3: Cross multiply
    2,800.15x = 3,864.22 × 1,541.33
  4. Step 4: Simplify right side
    2,800.15x = 5,956,029.53
  5. Step 5: Solve for x
    x = 5,956,029.53/2,800.15
  6. Step 6: Final answer
    x = 2,127.04

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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.