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Finding the Fourth Proportional to 3,181.72, 4,390.80 and 1,784.80

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Solution

The fourth proportional to 3,181.72, 4,390.80 and 1,784.80 is: 2,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.72 : 4,390.80 = 1,784.80 : x
  2. Step 2: Convert to fraction form
    3,181.72/4,390.80 = 1,784.80/x
  3. Step 3: Cross multiply
    3,181.72x = 4,390.80 × 1,784.80
  4. Step 4: Simplify right side
    3,181.72x = 7,836,699.84
  5. Step 5: Solve for x
    x = 7,836,699.84/3,181.72
  6. Step 6: Final answer
    x = 2,463.04

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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.