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Finding the Fourth Proportional to 2,820.74, 3,892.41 and 1,578.50

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Solution

The fourth proportional to 2,820.74, 3,892.41 and 1,578.50 is: 2,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.74 : 3,892.41 = 1,578.50 : x
  2. Step 2: Convert to fraction form
    2,820.74/3,892.41 = 1,578.50/x
  3. Step 3: Cross multiply
    2,820.74x = 3,892.41 × 1,578.50
  4. Step 4: Simplify right side
    2,820.74x = 6,144,169.19
  5. Step 5: Solve for x
    x = 6,144,169.19/2,820.74
  6. Step 6: Final answer
    x = 2,178.21

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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.