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Finding the Fourth Proportional to 2,862.09, 3,950.10 and 1,603.20

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Solution

The fourth proportional to 2,862.09, 3,950.10 and 1,603.20 is: 2,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.09 : 3,950.10 = 1,603.20 : x
  2. Step 2: Convert to fraction form
    2,862.09/3,950.10 = 1,603.20/x
  3. Step 3: Cross multiply
    2,862.09x = 3,950.10 × 1,603.20
  4. Step 4: Simplify right side
    2,862.09x = 6,332,800.32
  5. Step 5: Solve for x
    x = 6,332,800.32/2,862.09
  6. Step 6: Final answer
    x = 2,212.65

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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.