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Finding the Fourth Proportional to 3,491.64, 5,233.80 and 1,269

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Solution

The fourth proportional to 3,491.64, 5,233.80 and 1,269 is: 1,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.64 : 5,233.80 = 1,269 : x
  2. Step 2: Convert to fraction form
    3,491.64/5,233.80 = 1,269/x
  3. Step 3: Cross multiply
    3,491.64x = 5,233.80 × 1,269
  4. Step 4: Simplify right side
    3,491.64x = 6,641,692.20
  5. Step 5: Solve for x
    x = 6,641,692.20/3,491.64
  6. Step 6: Final answer
    x = 1,902.17

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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.