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Finding the Fourth Proportional to 2,083.57, 3,126.08 and 785.41

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Solution

The fourth proportional to 2,083.57, 3,126.08 and 785.41 is: 1,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.57 : 3,126.08 = 785.41 : x
  2. Step 2: Convert to fraction form
    2,083.57/3,126.08 = 785.41/x
  3. Step 3: Cross multiply
    2,083.57x = 3,126.08 × 785.41
  4. Step 4: Simplify right side
    2,083.57x = 2,455,250.57
  5. Step 5: Solve for x
    x = 2,455,250.57/2,083.57
  6. Step 6: Final answer
    x = 1,178.39

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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.