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Finding the Fourth Proportional to 3,874.96, 5,341.80 and 2,941.84

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Solution

The fourth proportional to 3,874.96, 5,341.80 and 2,941.84 is: 4,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.96 : 5,341.80 = 2,941.84 : x
  2. Step 2: Convert to fraction form
    3,874.96/5,341.80 = 2,941.84/x
  3. Step 3: Cross multiply
    3,874.96x = 5,341.80 × 2,941.84
  4. Step 4: Simplify right side
    3,874.96x = 15,714,720.91
  5. Step 5: Solve for x
    x = 15,714,720.91/3,874.96
  6. Step 6: Final answer
    x = 4,055.45

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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.