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Finding the Fourth Proportional to 2,820.63, 3,892.46 and 1,578.63

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Solution

The fourth proportional to 2,820.63, 3,892.46 and 1,578.63 is: 2,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.63 : 3,892.46 = 1,578.63 : x
  2. Step 2: Convert to fraction form
    2,820.63/3,892.46 = 1,578.63/x
  3. Step 3: Cross multiply
    2,820.63x = 3,892.46 × 1,578.63
  4. Step 4: Simplify right side
    2,820.63x = 6,144,738.61
  5. Step 5: Solve for x
    x = 6,144,738.61/2,820.63
  6. Step 6: Final answer
    x = 2,178.50

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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.