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Finding the Fourth Proportional to 5,745.92, 7,919.16 and 4,947.19

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Solution

The fourth proportional to 5,745.92, 7,919.16 and 4,947.19 is: 6,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.92 : 7,919.16 = 4,947.19 : x
  2. Step 2: Convert to fraction form
    5,745.92/7,919.16 = 4,947.19/x
  3. Step 3: Cross multiply
    5,745.92x = 7,919.16 × 4,947.19
  4. Step 4: Simplify right side
    5,745.92x = 39,177,549.56
  5. Step 5: Solve for x
    x = 39,177,549.56/5,745.92
  6. Step 6: Final answer
    x = 6,818.32

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Half scale
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Double scale
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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.