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Finding the Fourth Proportional to 2,894.13, 4,343.22 and 2,018.72

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Solution

The fourth proportional to 2,894.13, 4,343.22 and 2,018.72 is: 3,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.13 : 4,343.22 = 2,018.72 : x
  2. Step 2: Convert to fraction form
    2,894.13/4,343.22 = 2,018.72/x
  3. Step 3: Cross multiply
    2,894.13x = 4,343.22 × 2,018.72
  4. Step 4: Simplify right side
    2,894.13x = 8,767,755.94
  5. Step 5: Solve for x
    x = 8,767,755.94/2,894.13
  6. Step 6: Final answer
    x = 3,029.50

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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.