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Finding the Fourth Proportional to 2,841.72, 3,922.64 and 2,101.63

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Solution

The fourth proportional to 2,841.72, 3,922.64 and 2,101.63 is: 2,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.72 : 3,922.64 = 2,101.63 : x
  2. Step 2: Convert to fraction form
    2,841.72/3,922.64 = 2,101.63/x
  3. Step 3: Cross multiply
    2,841.72x = 3,922.64 × 2,101.63
  4. Step 4: Simplify right side
    2,841.72x = 8,243,937.90
  5. Step 5: Solve for x
    x = 8,243,937.90/2,841.72
  6. Step 6: Final answer
    x = 2,901.04

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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.