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Finding the Fourth Proportional to 2,600.78, 3,588.99 and 1,552.22

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Solution

The fourth proportional to 2,600.78, 3,588.99 and 1,552.22 is: 2,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.78 : 3,588.99 = 1,552.22 : x
  2. Step 2: Convert to fraction form
    2,600.78/3,588.99 = 1,552.22/x
  3. Step 3: Cross multiply
    2,600.78x = 3,588.99 × 1,552.22
  4. Step 4: Simplify right side
    2,600.78x = 5,570,902.06
  5. Step 5: Solve for x
    x = 5,570,902.06/2,600.78
  6. Step 6: Final answer
    x = 2,142.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.