Home / 1,422.24-2,130.24-727.70

Finding the Fourth Proportional to 1,422.24, 2,130.24 and 727.70

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Solution

The fourth proportional to 1,422.24, 2,130.24 and 727.70 is: 1,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.24 : 2,130.24 = 727.70 : x
  2. Step 2: Convert to fraction form
    1,422.24/2,130.24 = 727.70/x
  3. Step 3: Cross multiply
    1,422.24x = 2,130.24 × 727.70
  4. Step 4: Simplify right side
    1,422.24x = 1,550,175.65
  5. Step 5: Solve for x
    x = 1,550,175.65/1,422.24
  6. Step 6: Final answer
    x = 1,089.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.