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Finding the Fourth Proportional to 2,820.90, 3,892.83 and 1,578.90

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Solution

The fourth proportional to 2,820.90, 3,892.83 and 1,578.90 is: 2,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.90 : 3,892.83 = 1,578.90 : x
  2. Step 2: Convert to fraction form
    2,820.90/3,892.83 = 1,578.90/x
  3. Step 3: Cross multiply
    2,820.90x = 3,892.83 × 1,578.90
  4. Step 4: Simplify right side
    2,820.90x = 6,146,389.29
  5. Step 5: Solve for x
    x = 6,146,389.29/2,820.90
  6. Step 6: Final answer
    x = 2,178.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.