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Finding the Fourth Proportional to 2,560.01, 3,835 and 1,328.23

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Solution

The fourth proportional to 2,560.01, 3,835 and 1,328.23 is: 1,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.01 : 3,835 = 1,328.23 : x
  2. Step 2: Convert to fraction form
    2,560.01/3,835 = 1,328.23/x
  3. Step 3: Cross multiply
    2,560.01x = 3,835 × 1,328.23
  4. Step 4: Simplify right side
    2,560.01x = 5,093,762.05
  5. Step 5: Solve for x
    x = 5,093,762.05/2,560.01
  6. Step 6: Final answer
    x = 1,989.74

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