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Finding the Fourth Proportional to 2,539.57, 3,809.78 and 873.63

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Solution

The fourth proportional to 2,539.57, 3,809.78 and 873.63 is: 1,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.57 : 3,809.78 = 873.63 : x
  2. Step 2: Convert to fraction form
    2,539.57/3,809.78 = 873.63/x
  3. Step 3: Cross multiply
    2,539.57x = 3,809.78 × 873.63
  4. Step 4: Simplify right side
    2,539.57x = 3,328,316.92
  5. Step 5: Solve for x
    x = 3,328,316.92/2,539.57
  6. Step 6: Final answer
    x = 1,310.58

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1.5x scale

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.