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Finding the Fourth Proportional to 3,695, 5,099.90 and 2,123.96

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Solution

The fourth proportional to 3,695, 5,099.90 and 2,123.96 is: 2,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695 : 5,099.90 = 2,123.96 : x
  2. Step 2: Convert to fraction form
    3,695/5,099.90 = 2,123.96/x
  3. Step 3: Cross multiply
    3,695x = 5,099.90 × 2,123.96
  4. Step 4: Simplify right side
    3,695x = 10,831,983.60
  5. Step 5: Solve for x
    x = 10,831,983.60/3,695
  6. Step 6: Final answer
    x = 2,931.52

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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.