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Finding the Fourth Proportional to 2,834.40, 3,908.07 and 2,502.30

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Solution

The fourth proportional to 2,834.40, 3,908.07 and 2,502.30 is: 3,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.40 : 3,908.07 = 2,502.30 : x
  2. Step 2: Convert to fraction form
    2,834.40/3,908.07 = 2,502.30/x
  3. Step 3: Cross multiply
    2,834.40x = 3,908.07 × 2,502.30
  4. Step 4: Simplify right side
    2,834.40x = 9,779,163.56
  5. Step 5: Solve for x
    x = 9,779,163.56/2,834.40
  6. Step 6: Final answer
    x = 3,450.17

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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.