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Finding the Fourth Proportional to 5,298.14, 7,311.51 and 2,940.29

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Solution

The fourth proportional to 5,298.14, 7,311.51 and 2,940.29 is: 4,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.14 : 7,311.51 = 2,940.29 : x
  2. Step 2: Convert to fraction form
    5,298.14/7,311.51 = 2,940.29/x
  3. Step 3: Cross multiply
    5,298.14x = 7,311.51 × 2,940.29
  4. Step 4: Simplify right side
    5,298.14x = 21,497,923.18
  5. Step 5: Solve for x
    x = 21,497,923.18/5,298.14
  6. Step 6: Final answer
    x = 4,057.64

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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.