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Finding the Fourth Proportional to 2,603.58, 3,896.10 and 2,086.90

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Solution

The fourth proportional to 2,603.58, 3,896.10 and 2,086.90 is: 3,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.58 : 3,896.10 = 2,086.90 : x
  2. Step 2: Convert to fraction form
    2,603.58/3,896.10 = 2,086.90/x
  3. Step 3: Cross multiply
    2,603.58x = 3,896.10 × 2,086.90
  4. Step 4: Simplify right side
    2,603.58x = 8,130,771.09
  5. Step 5: Solve for x
    x = 8,130,771.09/2,603.58
  6. Step 6: Final answer
    x = 3,122.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.