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Finding the Fourth Proportional to 2,428.87, 3,643 and 785.25

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Solution

The fourth proportional to 2,428.87, 3,643 and 785.25 is: 1,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.87 : 3,643 = 785.25 : x
  2. Step 2: Convert to fraction form
    2,428.87/3,643 = 785.25/x
  3. Step 3: Cross multiply
    2,428.87x = 3,643 × 785.25
  4. Step 4: Simplify right side
    2,428.87x = 2,860,665.75
  5. Step 5: Solve for x
    x = 2,860,665.75/2,428.87
  6. Step 6: Final answer
    x = 1,177.78

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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.