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Finding the Fourth Proportional to 1,649.94, 2,276.94 and 986.82

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Solution

The fourth proportional to 1,649.94, 2,276.94 and 986.82 is: 1,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.94 : 2,276.94 = 986.82 : x
  2. Step 2: Convert to fraction form
    1,649.94/2,276.94 = 986.82/x
  3. Step 3: Cross multiply
    1,649.94x = 2,276.94 × 986.82
  4. Step 4: Simplify right side
    1,649.94x = 2,246,929.93
  5. Step 5: Solve for x
    x = 2,246,929.93/1,649.94
  6. Step 6: Final answer
    x = 1,361.83

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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.