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Finding the Fourth Proportional to 6,460.67, 8,917.12 and 3,942.24

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Solution

The fourth proportional to 6,460.67, 8,917.12 and 3,942.24 is: 5,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.67 : 8,917.12 = 3,942.24 : x
  2. Step 2: Convert to fraction form
    6,460.67/8,917.12 = 3,942.24/x
  3. Step 3: Cross multiply
    6,460.67x = 8,917.12 × 3,942.24
  4. Step 4: Simplify right side
    6,460.67x = 35,153,418.58
  5. Step 5: Solve for x
    x = 35,153,418.58/6,460.67
  6. Step 6: Final answer
    x = 5,441.14

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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.