Home / 1,649.49-2,275.92-986.23

Finding the Fourth Proportional to 1,649.49, 2,275.92 and 986.23

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Solution

The fourth proportional to 1,649.49, 2,275.92 and 986.23 is: 1,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.49 : 2,275.92 = 986.23 : x
  2. Step 2: Convert to fraction form
    1,649.49/2,275.92 = 986.23/x
  3. Step 3: Cross multiply
    1,649.49x = 2,275.92 × 986.23
  4. Step 4: Simplify right side
    1,649.49x = 2,244,580.58
  5. Step 5: Solve for x
    x = 2,244,580.58/1,649.49
  6. Step 6: Final answer
    x = 1,360.78

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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.