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Finding the Fourth Proportional to 3,650.66, 5,038.10 and 2,078.46

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Solution

The fourth proportional to 3,650.66, 5,038.10 and 2,078.46 is: 2,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.66 : 5,038.10 = 2,078.46 : x
  2. Step 2: Convert to fraction form
    3,650.66/5,038.10 = 2,078.46/x
  3. Step 3: Cross multiply
    3,650.66x = 5,038.10 × 2,078.46
  4. Step 4: Simplify right side
    3,650.66x = 10,471,489.33
  5. Step 5: Solve for x
    x = 10,471,489.33/3,650.66
  6. Step 6: Final answer
    x = 2,868.38

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1.5x scale

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.