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Finding the Fourth Proportional to 2,608.77, 3,600 and 1,429.83

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Solution

The fourth proportional to 2,608.77, 3,600 and 1,429.83 is: 1,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.77 : 3,600 = 1,429.83 : x
  2. Step 2: Convert to fraction form
    2,608.77/3,600 = 1,429.83/x
  3. Step 3: Cross multiply
    2,608.77x = 3,600 × 1,429.83
  4. Step 4: Simplify right side
    2,608.77x = 5,147,388
  5. Step 5: Solve for x
    x = 5,147,388/2,608.77
  6. Step 6: Final answer
    x = 1,973.11

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Why These Related Problems?

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