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Finding the Fourth Proportional to 3,873.87, 5,807.53 and 1,680.94

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Solution

The fourth proportional to 3,873.87, 5,807.53 and 1,680.94 is: 2,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.87 : 5,807.53 = 1,680.94 : x
  2. Step 2: Convert to fraction form
    3,873.87/5,807.53 = 1,680.94/x
  3. Step 3: Cross multiply
    3,873.87x = 5,807.53 × 1,680.94
  4. Step 4: Simplify right side
    3,873.87x = 9,762,109.48
  5. Step 5: Solve for x
    x = 9,762,109.48/3,873.87
  6. Step 6: Final answer
    x = 2,519.99

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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.