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Finding the Fourth Proportional to 3,313, 4,969.50 and 1,261.48

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Solution

The fourth proportional to 3,313, 4,969.50 and 1,261.48 is: 1,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313 : 4,969.50 = 1,261.48 : x
  2. Step 2: Convert to fraction form
    3,313/4,969.50 = 1,261.48/x
  3. Step 3: Cross multiply
    3,313x = 4,969.50 × 1,261.48
  4. Step 4: Simplify right side
    3,313x = 6,268,924.86
  5. Step 5: Solve for x
    x = 6,268,924.86/3,313
  6. Step 6: Final answer
    x = 1,892.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.