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Finding the Fourth Proportional to 6,782.40, 9,360.39 and 3,911.21

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Solution

The fourth proportional to 6,782.40, 9,360.39 and 3,911.21 is: 5,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.40 : 9,360.39 = 3,911.21 : x
  2. Step 2: Convert to fraction form
    6,782.40/9,360.39 = 3,911.21/x
  3. Step 3: Cross multiply
    6,782.40x = 9,360.39 × 3,911.21
  4. Step 4: Simplify right side
    6,782.40x = 36,610,404.17
  5. Step 5: Solve for x
    x = 36,610,404.17/6,782.40
  6. Step 6: Final answer
    x = 5,397.85

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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.