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Finding the Fourth Proportional to 5,778.68, 7,971.98 and 3,419.44

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Solution

The fourth proportional to 5,778.68, 7,971.98 and 3,419.44 is: 4,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.68 : 7,971.98 = 3,419.44 : x
  2. Step 2: Convert to fraction form
    5,778.68/7,971.98 = 3,419.44/x
  3. Step 3: Cross multiply
    5,778.68x = 7,971.98 × 3,419.44
  4. Step 4: Simplify right side
    5,778.68x = 27,259,670.26
  5. Step 5: Solve for x
    x = 27,259,670.26/5,778.68
  6. Step 6: Final answer
    x = 4,717.29

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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.