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Finding the Fourth Proportional to 1,649.91, 2,276.67 and 986.61

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Solution

The fourth proportional to 1,649.91, 2,276.67 and 986.61 is: 1,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.91 : 2,276.67 = 986.61 : x
  2. Step 2: Convert to fraction form
    1,649.91/2,276.67 = 986.61/x
  3. Step 3: Cross multiply
    1,649.91x = 2,276.67 × 986.61
  4. Step 4: Simplify right side
    1,649.91x = 2,246,185.39
  5. Step 5: Solve for x
    x = 2,246,185.39/1,649.91
  6. Step 6: Final answer
    x = 1,361.40

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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.