Home / 1,649.52-2,276.37-986.40

Finding the Fourth Proportional to 1,649.52, 2,276.37 and 986.40

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Solution

The fourth proportional to 1,649.52, 2,276.37 and 986.40 is: 1,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.52 : 2,276.37 = 986.40 : x
  2. Step 2: Convert to fraction form
    1,649.52/2,276.37 = 986.40/x
  3. Step 3: Cross multiply
    1,649.52x = 2,276.37 × 986.40
  4. Step 4: Simplify right side
    1,649.52x = 2,245,411.37
  5. Step 5: Solve for x
    x = 2,245,411.37/1,649.52
  6. Step 6: Final answer
    x = 1,361.25

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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.