Home / 2,083.28-2,876-1,610.12

Finding the Fourth Proportional to 2,083.28, 2,876 and 1,610.12

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Solution

The fourth proportional to 2,083.28, 2,876 and 1,610.12 is: 2,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.28 : 2,876 = 1,610.12 : x
  2. Step 2: Convert to fraction form
    2,083.28/2,876 = 1,610.12/x
  3. Step 3: Cross multiply
    2,083.28x = 2,876 × 1,610.12
  4. Step 4: Simplify right side
    2,083.28x = 4,630,705.12
  5. Step 5: Solve for x
    x = 4,630,705.12/2,083.28
  6. Step 6: Final answer
    x = 2,222.80

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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.