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Finding the Fourth Proportional to 3,407.81, 4,703.34 and 2,839.75

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Solution

The fourth proportional to 3,407.81, 4,703.34 and 2,839.75 is: 3,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.81 : 4,703.34 = 2,839.75 : x
  2. Step 2: Convert to fraction form
    3,407.81/4,703.34 = 2,839.75/x
  3. Step 3: Cross multiply
    3,407.81x = 4,703.34 × 2,839.75
  4. Step 4: Simplify right side
    3,407.81x = 13,356,309.77
  5. Step 5: Solve for x
    x = 13,356,309.77/3,407.81
  6. Step 6: Final answer
    x = 3,919.32

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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.