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Finding the Fourth Proportional to 3,539, 5,309.67 and 1,895.18

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Solution

The fourth proportional to 3,539, 5,309.67 and 1,895.18 is: 2,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539 : 5,309.67 = 1,895.18 : x
  2. Step 2: Convert to fraction form
    3,539/5,309.67 = 1,895.18/x
  3. Step 3: Cross multiply
    3,539x = 5,309.67 × 1,895.18
  4. Step 4: Simplify right side
    3,539x = 10,062,780.39
  5. Step 5: Solve for x
    x = 10,062,780.39/3,539
  6. Step 6: Final answer
    x = 2,843.40

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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.