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Finding the Fourth Proportional to 2,600.12, 3,900.72 and 1,505.54

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Solution

The fourth proportional to 2,600.12, 3,900.72 and 1,505.54 is: 2,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.12 : 3,900.72 = 1,505.54 : x
  2. Step 2: Convert to fraction form
    2,600.12/3,900.72 = 1,505.54/x
  3. Step 3: Cross multiply
    2,600.12x = 3,900.72 × 1,505.54
  4. Step 4: Simplify right side
    2,600.12x = 5,872,689.99
  5. Step 5: Solve for x
    x = 5,872,689.99/2,600.12
  6. Step 6: Final answer
    x = 2,258.62

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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.