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Finding the Fourth Proportional to 6,100.92, 8,414.28 and 5,313.60

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Solution

The fourth proportional to 6,100.92, 8,414.28 and 5,313.60 is: 7,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.92 : 8,414.28 = 5,313.60 : x
  2. Step 2: Convert to fraction form
    6,100.92/8,414.28 = 5,313.60/x
  3. Step 3: Cross multiply
    6,100.92x = 8,414.28 × 5,313.60
  4. Step 4: Simplify right side
    6,100.92x = 44,710,118.21
  5. Step 5: Solve for x
    x = 44,710,118.21/6,100.92
  6. Step 6: Final answer
    x = 7,328.42

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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.