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Finding the Fourth Proportional to 6,102, 8,414.47 and 5,220.72

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Solution

The fourth proportional to 6,102, 8,414.47 and 5,220.72 is: 7,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102 : 8,414.47 = 5,220.72 : x
  2. Step 2: Convert to fraction form
    6,102/8,414.47 = 5,220.72/x
  3. Step 3: Cross multiply
    6,102x = 8,414.47 × 5,220.72
  4. Step 4: Simplify right side
    6,102x = 43,929,591.82
  5. Step 5: Solve for x
    x = 43,929,591.82/6,102
  6. Step 6: Final answer
    x = 7,199.21

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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.