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Finding the Fourth Proportional to 7,906.86, 10,910.31 and 4,719.42

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Solution

The fourth proportional to 7,906.86, 10,910.31 and 4,719.42 is: 6,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.86 : 10,910.31 = 4,719.42 : x
  2. Step 2: Convert to fraction form
    7,906.86/10,910.31 = 4,719.42/x
  3. Step 3: Cross multiply
    7,906.86x = 10,910.31 × 4,719.42
  4. Step 4: Simplify right side
    7,906.86x = 51,490,335.22
  5. Step 5: Solve for x
    x = 51,490,335.22/7,906.86
  6. Step 6: Final answer
    x = 6,512.11

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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.