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Finding the Fourth Proportional to 5,313, 7,331.79 and 2,955.22

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Solution

The fourth proportional to 5,313, 7,331.79 and 2,955.22 is: 4,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313 : 7,331.79 = 2,955.22 : x
  2. Step 2: Convert to fraction form
    5,313/7,331.79 = 2,955.22/x
  3. Step 3: Cross multiply
    5,313x = 7,331.79 × 2,955.22
  4. Step 4: Simplify right side
    5,313x = 21,667,052.44
  5. Step 5: Solve for x
    x = 21,667,052.44/5,313
  6. Step 6: Final answer
    x = 4,078.12

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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.