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Finding the Fourth Proportional to 2,800.57, 3,865.03 and 1,541.87

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Solution

The fourth proportional to 2,800.57, 3,865.03 and 1,541.87 is: 2,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.57 : 3,865.03 = 1,541.87 : x
  2. Step 2: Convert to fraction form
    2,800.57/3,865.03 = 1,541.87/x
  3. Step 3: Cross multiply
    2,800.57x = 3,865.03 × 1,541.87
  4. Step 4: Simplify right side
    2,800.57x = 5,959,366.10
  5. Step 5: Solve for x
    x = 5,959,366.10/2,800.57
  6. Step 6: Final answer
    x = 2,127.91

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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.