Home / 2,102.42-3,151.57-1,922.01

Finding the Fourth Proportional to 2,102.42, 3,151.57 and 1,922.01

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Solution

The fourth proportional to 2,102.42, 3,151.57 and 1,922.01 is: 2,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.42 : 3,151.57 = 1,922.01 : x
  2. Step 2: Convert to fraction form
    2,102.42/3,151.57 = 1,922.01/x
  3. Step 3: Cross multiply
    2,102.42x = 3,151.57 × 1,922.01
  4. Step 4: Simplify right side
    2,102.42x = 6,057,349.06
  5. Step 5: Solve for x
    x = 6,057,349.06/2,102.42
  6. Step 6: Final answer
    x = 2,881.13

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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.