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Finding the Fourth Proportional to 2,649.87, 3,653.28 and 2,280.81

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Solution

The fourth proportional to 2,649.87, 3,653.28 and 2,280.81 is: 3,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.87 : 3,653.28 = 2,280.81 : x
  2. Step 2: Convert to fraction form
    2,649.87/3,653.28 = 2,280.81/x
  3. Step 3: Cross multiply
    2,649.87x = 3,653.28 × 2,280.81
  4. Step 4: Simplify right side
    2,649.87x = 8,332,437.56
  5. Step 5: Solve for x
    x = 8,332,437.56/2,649.87
  6. Step 6: Final answer
    x = 3,144.47

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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.