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Finding the Fourth Proportional to 3,695.44, 5,099.72 and 2,101.90

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Solution

The fourth proportional to 3,695.44, 5,099.72 and 2,101.90 is: 2,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.44 : 5,099.72 = 2,101.90 : x
  2. Step 2: Convert to fraction form
    3,695.44/5,099.72 = 2,101.90/x
  3. Step 3: Cross multiply
    3,695.44x = 5,099.72 × 2,101.90
  4. Step 4: Simplify right side
    3,695.44x = 10,719,101.47
  5. Step 5: Solve for x
    x = 10,719,101.47/3,695.44
  6. Step 6: Final answer
    x = 2,900.63

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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.