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Finding the Fourth Proportional to 6,991.78, 9,641.07 and 4,749.19

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Solution

The fourth proportional to 6,991.78, 9,641.07 and 4,749.19 is: 6,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.78 : 9,641.07 = 4,749.19 : x
  2. Step 2: Convert to fraction form
    6,991.78/9,641.07 = 4,749.19/x
  3. Step 3: Cross multiply
    6,991.78x = 9,641.07 × 4,749.19
  4. Step 4: Simplify right side
    6,991.78x = 45,787,273.23
  5. Step 5: Solve for x
    x = 45,787,273.23/6,991.78
  6. Step 6: Final answer
    x = 6,548.73

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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.