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Finding the Fourth Proportional to 4,901.68, 6,764.41 and 2,805.81

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Solution

The fourth proportional to 4,901.68, 6,764.41 and 2,805.81 is: 3,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.68 : 6,764.41 = 2,805.81 : x
  2. Step 2: Convert to fraction form
    4,901.68/6,764.41 = 2,805.81/x
  3. Step 3: Cross multiply
    4,901.68x = 6,764.41 × 2,805.81
  4. Step 4: Simplify right side
    4,901.68x = 18,979,649.22
  5. Step 5: Solve for x
    x = 18,979,649.22/4,901.68
  6. Step 6: Final answer
    x = 3,872.07

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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.