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Finding the Fourth Proportional to 2,083.32, 3,126.20 and 784.89

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Solution

The fourth proportional to 2,083.32, 3,126.20 and 784.89 is: 1,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.32 : 3,126.20 = 784.89 : x
  2. Step 2: Convert to fraction form
    2,083.32/3,126.20 = 784.89/x
  3. Step 3: Cross multiply
    2,083.32x = 3,126.20 × 784.89
  4. Step 4: Simplify right side
    2,083.32x = 2,453,719.19
  5. Step 5: Solve for x
    x = 2,453,719.19/2,083.32
  6. Step 6: Final answer
    x = 1,177.79

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