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Finding the Fourth Proportional to 3,407.88, 4,703.42 and 2,839.81

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Solution

The fourth proportional to 3,407.88, 4,703.42 and 2,839.81 is: 3,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.88 : 4,703.42 = 2,839.81 : x
  2. Step 2: Convert to fraction form
    3,407.88/4,703.42 = 2,839.81/x
  3. Step 3: Cross multiply
    3,407.88x = 4,703.42 × 2,839.81
  4. Step 4: Simplify right side
    3,407.88x = 13,356,814.49
  5. Step 5: Solve for x
    x = 13,356,814.49/3,407.88
  6. Step 6: Final answer
    x = 3,919.39

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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.