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Finding the Fourth Proportional to 8,442.92, 11,650.88 and 4,905.86

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Solution

The fourth proportional to 8,442.92, 11,650.88 and 4,905.86 is: 6,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.92 : 11,650.88 = 4,905.86 : x
  2. Step 2: Convert to fraction form
    8,442.92/11,650.88 = 4,905.86/x
  3. Step 3: Cross multiply
    8,442.92x = 11,650.88 × 4,905.86
  4. Step 4: Simplify right side
    8,442.92x = 57,157,503.37
  5. Step 5: Solve for x
    x = 57,157,503.37/8,442.92
  6. Step 6: Final answer
    x = 6,769.88

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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.