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Finding the Fourth Proportional to 3,812.61, 5,714.81 and 2,492.20

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Solution

The fourth proportional to 3,812.61, 5,714.81 and 2,492.20 is: 3,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.61 : 5,714.81 = 2,492.20 : x
  2. Step 2: Convert to fraction form
    3,812.61/5,714.81 = 2,492.20/x
  3. Step 3: Cross multiply
    3,812.61x = 5,714.81 × 2,492.20
  4. Step 4: Simplify right side
    3,812.61x = 14,242,451.31
  5. Step 5: Solve for x
    x = 14,242,451.31/3,812.61
  6. Step 6: Final answer
    x = 3,735.62

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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.