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Finding the Fourth Proportional to 2,862.92, 3,950.99 and 1,604.07

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Solution

The fourth proportional to 2,862.92, 3,950.99 and 1,604.07 is: 2,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.92 : 3,950.99 = 1,604.07 : x
  2. Step 2: Convert to fraction form
    2,862.92/3,950.99 = 1,604.07/x
  3. Step 3: Cross multiply
    2,862.92x = 3,950.99 × 1,604.07
  4. Step 4: Simplify right side
    2,862.92x = 6,337,656.51
  5. Step 5: Solve for x
    x = 6,337,656.51/2,862.92
  6. Step 6: Final answer
    x = 2,213.71

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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.