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Finding the Fourth Proportional to 3,887.28, 5,826.87 and 1,695.42

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Solution

The fourth proportional to 3,887.28, 5,826.87 and 1,695.42 is: 2,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.28 : 5,826.87 = 1,695.42 : x
  2. Step 2: Convert to fraction form
    3,887.28/5,826.87 = 1,695.42/x
  3. Step 3: Cross multiply
    3,887.28x = 5,826.87 × 1,695.42
  4. Step 4: Simplify right side
    3,887.28x = 9,878,991.94
  5. Step 5: Solve for x
    x = 9,878,991.94/3,887.28
  6. Step 6: Final answer
    x = 2,541.36

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1.5x scale

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.