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Finding the Fourth Proportional to 2,577.61, 3,866.38 and 629.83

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Solution

The fourth proportional to 2,577.61, 3,866.38 and 629.83 is: 944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.61 : 3,866.38 = 629.83 : x
  2. Step 2: Convert to fraction form
    2,577.61/3,866.38 = 629.83/x
  3. Step 3: Cross multiply
    2,577.61x = 3,866.38 × 629.83
  4. Step 4: Simplify right side
    2,577.61x = 2,435,162.12
  5. Step 5: Solve for x
    x = 2,435,162.12/2,577.61
  6. Step 6: Final answer
    x = 944.74

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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.