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Finding the Fourth Proportional to 3,812.91, 5,714.34 and 1,618.92

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Solution

The fourth proportional to 3,812.91, 5,714.34 and 1,618.92 is: 2,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.91 : 5,714.34 = 1,618.92 : x
  2. Step 2: Convert to fraction form
    3,812.91/5,714.34 = 1,618.92/x
  3. Step 3: Cross multiply
    3,812.91x = 5,714.34 × 1,618.92
  4. Step 4: Simplify right side
    3,812.91x = 9,251,059.31
  5. Step 5: Solve for x
    x = 9,251,059.31/3,812.91
  6. Step 6: Final answer
    x = 2,426.25

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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.