Home / 2,835.94-3,913.81-1,577.22

Finding the Fourth Proportional to 2,835.94, 3,913.81 and 1,577.22

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Solution

The fourth proportional to 2,835.94, 3,913.81 and 1,577.22 is: 2,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.94 : 3,913.81 = 1,577.22 : x
  2. Step 2: Convert to fraction form
    2,835.94/3,913.81 = 1,577.22/x
  3. Step 3: Cross multiply
    2,835.94x = 3,913.81 × 1,577.22
  4. Step 4: Simplify right side
    2,835.94x = 6,172,939.41
  5. Step 5: Solve for x
    x = 6,172,939.41/2,835.94
  6. Step 6: Final answer
    x = 2,176.68

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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.