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Finding the Fourth Proportional to 4,809.28, 6,640.56 and 3,764.32

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Solution

The fourth proportional to 4,809.28, 6,640.56 and 3,764.32 is: 5,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.28 : 6,640.56 = 3,764.32 : x
  2. Step 2: Convert to fraction form
    4,809.28/6,640.56 = 3,764.32/x
  3. Step 3: Cross multiply
    4,809.28x = 6,640.56 × 3,764.32
  4. Step 4: Simplify right side
    4,809.28x = 24,997,192.82
  5. Step 5: Solve for x
    x = 24,997,192.82/4,809.28
  6. Step 6: Final answer
    x = 5,197.70

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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.