Home / 2,102.16-3,151.71-991.65

Finding the Fourth Proportional to 2,102.16, 3,151.71 and 991.65

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Solution

The fourth proportional to 2,102.16, 3,151.71 and 991.65 is: 1,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.16 : 3,151.71 = 991.65 : x
  2. Step 2: Convert to fraction form
    2,102.16/3,151.71 = 991.65/x
  3. Step 3: Cross multiply
    2,102.16x = 3,151.71 × 991.65
  4. Step 4: Simplify right side
    2,102.16x = 3,125,393.22
  5. Step 5: Solve for x
    x = 3,125,393.22/2,102.16
  6. Step 6: Final answer
    x = 1,486.75

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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.