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Finding the Fourth Proportional to 2,083.90, 3,125.91 and 785.08

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Solution

The fourth proportional to 2,083.90, 3,125.91 and 785.08 is: 1,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.90 : 3,125.91 = 785.08 : x
  2. Step 2: Convert to fraction form
    2,083.90/3,125.91 = 785.08/x
  3. Step 3: Cross multiply
    2,083.90x = 3,125.91 × 785.08
  4. Step 4: Simplify right side
    2,083.90x = 2,454,089.42
  5. Step 5: Solve for x
    x = 2,454,089.42/2,083.90
  6. Step 6: Final answer
    x = 1,177.64

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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.