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Finding the Fourth Proportional to 3,695, 5,098.72 and 2,123.32

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Solution

The fourth proportional to 3,695, 5,098.72 and 2,123.32 is: 2,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695 : 5,098.72 = 2,123.32 : x
  2. Step 2: Convert to fraction form
    3,695/5,098.72 = 2,123.32/x
  3. Step 3: Cross multiply
    3,695x = 5,098.72 × 2,123.32
  4. Step 4: Simplify right side
    3,695x = 10,826,214.15
  5. Step 5: Solve for x
    x = 10,826,214.15/3,695
  6. Step 6: Final answer
    x = 2,929.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.