Home / 1,902.12-2,851.90-976.52

Finding the Fourth Proportional to 1,902.12, 2,851.90 and 976.52

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Solution

The fourth proportional to 1,902.12, 2,851.90 and 976.52 is: 1,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.12 : 2,851.90 = 976.52 : x
  2. Step 2: Convert to fraction form
    1,902.12/2,851.90 = 976.52/x
  3. Step 3: Cross multiply
    1,902.12x = 2,851.90 × 976.52
  4. Step 4: Simplify right side
    1,902.12x = 2,784,937.39
  5. Step 5: Solve for x
    x = 2,784,937.39/1,902.12
  6. Step 6: Final answer
    x = 1,464.12

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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.