Home / 2,783.42-3,840.49-1,664.17

Finding the Fourth Proportional to 2,783.42, 3,840.49 and 1,664.17

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Solution

The fourth proportional to 2,783.42, 3,840.49 and 1,664.17 is: 2,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.42 : 3,840.49 = 1,664.17 : x
  2. Step 2: Convert to fraction form
    2,783.42/3,840.49 = 1,664.17/x
  3. Step 3: Cross multiply
    2,783.42x = 3,840.49 × 1,664.17
  4. Step 4: Simplify right side
    2,783.42x = 6,391,228.24
  5. Step 5: Solve for x
    x = 6,391,228.24/2,783.42
  6. Step 6: Final answer
    x = 2,296.18

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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.