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Finding the Fourth Proportional to 3,543, 5,313.84 and 946.12

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Solution

The fourth proportional to 3,543, 5,313.84 and 946.12 is: 1,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543 : 5,313.84 = 946.12 : x
  2. Step 2: Convert to fraction form
    3,543/5,313.84 = 946.12/x
  3. Step 3: Cross multiply
    3,543x = 5,313.84 × 946.12
  4. Step 4: Simplify right side
    3,543x = 5,027,530.30
  5. Step 5: Solve for x
    x = 5,027,530.30/3,543
  6. Step 6: Final answer
    x = 1,419.00

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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.