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Finding the Fourth Proportional to 3,404.79, 5,104 and 1,326.13

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Solution

The fourth proportional to 3,404.79, 5,104 and 1,326.13 is: 1,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.79 : 5,104 = 1,326.13 : x
  2. Step 2: Convert to fraction form
    3,404.79/5,104 = 1,326.13/x
  3. Step 3: Cross multiply
    3,404.79x = 5,104 × 1,326.13
  4. Step 4: Simplify right side
    3,404.79x = 6,768,567.52
  5. Step 5: Solve for x
    x = 6,768,567.52/3,404.79
  6. Step 6: Final answer
    x = 1,987.95

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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.