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Finding the Fourth Proportional to 5,778.40, 7,974.26 and 3,509.08

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Solution

The fourth proportional to 5,778.40, 7,974.26 and 3,509.08 is: 4,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.40 : 7,974.26 = 3,509.08 : x
  2. Step 2: Convert to fraction form
    5,778.40/7,974.26 = 3,509.08/x
  3. Step 3: Cross multiply
    5,778.40x = 7,974.26 × 3,509.08
  4. Step 4: Simplify right side
    5,778.40x = 27,982,316.28
  5. Step 5: Solve for x
    x = 27,982,316.28/5,778.40
  6. Step 6: Final answer
    x = 4,842.57

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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.