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Finding the Fourth Proportional to 2,081.52, 3,122.64 and 783

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Solution

The fourth proportional to 2,081.52, 3,122.64 and 783 is: 1,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.52 : 3,122.64 = 783 : x
  2. Step 2: Convert to fraction form
    2,081.52/3,122.64 = 783/x
  3. Step 3: Cross multiply
    2,081.52x = 3,122.64 × 783
  4. Step 4: Simplify right side
    2,081.52x = 2,445,027.12
  5. Step 5: Solve for x
    x = 2,445,027.12/2,081.52
  6. Step 6: Final answer
    x = 1,174.64

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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.