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Finding the Fourth Proportional to 3,800.02, 5,246.40 and 2,914.12

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Solution

The fourth proportional to 3,800.02, 5,246.40 and 2,914.12 is: 4,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.02 : 5,246.40 = 2,914.12 : x
  2. Step 2: Convert to fraction form
    3,800.02/5,246.40 = 2,914.12/x
  3. Step 3: Cross multiply
    3,800.02x = 5,246.40 × 2,914.12
  4. Step 4: Simplify right side
    3,800.02x = 15,288,639.17
  5. Step 5: Solve for x
    x = 15,288,639.17/3,800.02
  6. Step 6: Final answer
    x = 4,023.30

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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.