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Finding the Fourth Proportional to 6,355.38, 8,768.40 and 3,838.30

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Solution

The fourth proportional to 6,355.38, 8,768.40 and 3,838.30 is: 5,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.38 : 8,768.40 = 3,838.30 : x
  2. Step 2: Convert to fraction form
    6,355.38/8,768.40 = 3,838.30/x
  3. Step 3: Cross multiply
    6,355.38x = 8,768.40 × 3,838.30
  4. Step 4: Simplify right side
    6,355.38x = 33,655,749.72
  5. Step 5: Solve for x
    x = 33,655,749.72/6,355.38
  6. Step 6: Final answer
    x = 5,295.63

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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.