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Finding the Fourth Proportional to 3,876.87, 5,815.17 and 1,685.60

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Solution

The fourth proportional to 3,876.87, 5,815.17 and 1,685.60 is: 2,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.87 : 5,815.17 = 1,685.60 : x
  2. Step 2: Convert to fraction form
    3,876.87/5,815.17 = 1,685.60/x
  3. Step 3: Cross multiply
    3,876.87x = 5,815.17 × 1,685.60
  4. Step 4: Simplify right side
    3,876.87x = 9,802,050.55
  5. Step 5: Solve for x
    x = 9,802,050.55/3,876.87
  6. Step 6: Final answer
    x = 2,528.34

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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.