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Finding the Fourth Proportional to 6,775.29, 9,346.13 and 3,942.34

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Solution

The fourth proportional to 6,775.29, 9,346.13 and 3,942.34 is: 5,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.29 : 9,346.13 = 3,942.34 : x
  2. Step 2: Convert to fraction form
    6,775.29/9,346.13 = 3,942.34/x
  3. Step 3: Cross multiply
    6,775.29x = 9,346.13 × 3,942.34
  4. Step 4: Simplify right side
    6,775.29x = 36,845,622.14
  5. Step 5: Solve for x
    x = 36,845,622.14/6,775.29
  6. Step 6: Final answer
    x = 5,438.24

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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.