Home / 1,612.24-2,224.84-949.20

Finding the Fourth Proportional to 1,612.24, 2,224.84 and 949.20

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Solution

The fourth proportional to 1,612.24, 2,224.84 and 949.20 is: 1,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.24 : 2,224.84 = 949.20 : x
  2. Step 2: Convert to fraction form
    1,612.24/2,224.84 = 949.20/x
  3. Step 3: Cross multiply
    1,612.24x = 2,224.84 × 949.20
  4. Step 4: Simplify right side
    1,612.24x = 2,111,818.13
  5. Step 5: Solve for x
    x = 2,111,818.13/1,612.24
  6. Step 6: Final answer
    x = 1,309.87

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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.