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Finding the Fourth Proportional to 2,600.87, 3,900.08 and 2,106.05

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Solution

The fourth proportional to 2,600.87, 3,900.08 and 2,106.05 is: 3,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.87 : 3,900.08 = 2,106.05 : x
  2. Step 2: Convert to fraction form
    2,600.87/3,900.08 = 2,106.05/x
  3. Step 3: Cross multiply
    2,600.87x = 3,900.08 × 2,106.05
  4. Step 4: Simplify right side
    2,600.87x = 8,213,733.45
  5. Step 5: Solve for x
    x = 8,213,733.45/2,600.87
  6. Step 6: Final answer
    x = 3,158.08

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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.