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Finding the Fourth Proportional to 6,942.28, 9,580.11 and 3,959.08

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Solution

The fourth proportional to 6,942.28, 9,580.11 and 3,959.08 is: 5,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.28 : 9,580.11 = 3,959.08 : x
  2. Step 2: Convert to fraction form
    6,942.28/9,580.11 = 3,959.08/x
  3. Step 3: Cross multiply
    6,942.28x = 9,580.11 × 3,959.08
  4. Step 4: Simplify right side
    6,942.28x = 37,928,364.10
  5. Step 5: Solve for x
    x = 37,928,364.10/6,942.28
  6. Step 6: Final answer
    x = 5,463.39

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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.