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Finding the Fourth Proportional to 3,513, 5,269.92 and 1,204.56

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Solution

The fourth proportional to 3,513, 5,269.92 and 1,204.56 is: 1,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513 : 5,269.92 = 1,204.56 : x
  2. Step 2: Convert to fraction form
    3,513/5,269.92 = 1,204.56/x
  3. Step 3: Cross multiply
    3,513x = 5,269.92 × 1,204.56
  4. Step 4: Simplify right side
    3,513x = 6,347,934.84
  5. Step 5: Solve for x
    x = 6,347,934.84/3,513
  6. Step 6: Final answer
    x = 1,806.98

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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.