Home / 2,140.57-3,208.16-1,823.77

Finding the Fourth Proportional to 2,140.57, 3,208.16 and 1,823.77

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Solution

The fourth proportional to 2,140.57, 3,208.16 and 1,823.77 is: 2,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.57 : 3,208.16 = 1,823.77 : x
  2. Step 2: Convert to fraction form
    2,140.57/3,208.16 = 1,823.77/x
  3. Step 3: Cross multiply
    2,140.57x = 3,208.16 × 1,823.77
  4. Step 4: Simplify right side
    2,140.57x = 5,850,936.84
  5. Step 5: Solve for x
    x = 5,850,936.84/2,140.57
  6. Step 6: Final answer
    x = 2,733.35

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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.