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Finding the Fourth Proportional to 2,800.87, 3,865.14 and 1,541.86

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Solution

The fourth proportional to 2,800.87, 3,865.14 and 1,541.86 is: 2,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.87 : 3,865.14 = 1,541.86 : x
  2. Step 2: Convert to fraction form
    2,800.87/3,865.14 = 1,541.86/x
  3. Step 3: Cross multiply
    2,800.87x = 3,865.14 × 1,541.86
  4. Step 4: Simplify right side
    2,800.87x = 5,959,495.10
  5. Step 5: Solve for x
    x = 5,959,495.10/2,800.87
  6. Step 6: Final answer
    x = 2,127.73

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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.