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Finding the Fourth Proportional to 5,778.59, 7,974.99 and 3,421.08

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Solution

The fourth proportional to 5,778.59, 7,974.99 and 3,421.08 is: 4,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.59 : 7,974.99 = 3,421.08 : x
  2. Step 2: Convert to fraction form
    5,778.59/7,974.99 = 3,421.08/x
  3. Step 3: Cross multiply
    5,778.59x = 7,974.99 × 3,421.08
  4. Step 4: Simplify right side
    5,778.59x = 27,283,078.79
  5. Step 5: Solve for x
    x = 27,283,078.79/5,778.59
  6. Step 6: Final answer
    x = 4,721.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.