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Finding the Fourth Proportional to 6,431.77, 8,910.31 and 6,278.68

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Solution

The fourth proportional to 6,431.77, 8,910.31 and 6,278.68 is: 8,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.77 : 8,910.31 = 6,278.68 : x
  2. Step 2: Convert to fraction form
    6,431.77/8,910.31 = 6,278.68/x
  3. Step 3: Cross multiply
    6,431.77x = 8,910.31 × 6,278.68
  4. Step 4: Simplify right side
    6,431.77x = 55,944,985.19
  5. Step 5: Solve for x
    x = 55,944,985.19/6,431.77
  6. Step 6: Final answer
    x = 8,698.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.