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Finding the Fourth Proportional to 3,181.76, 4,390.88 and 1,784.48

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Solution

The fourth proportional to 3,181.76, 4,390.88 and 1,784.48 is: 2,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.76 : 4,390.88 = 1,784.48 : x
  2. Step 2: Convert to fraction form
    3,181.76/4,390.88 = 1,784.48/x
  3. Step 3: Cross multiply
    3,181.76x = 4,390.88 × 1,784.48
  4. Step 4: Simplify right side
    3,181.76x = 7,835,437.54
  5. Step 5: Solve for x
    x = 7,835,437.54/3,181.76
  6. Step 6: Final answer
    x = 2,462.61

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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.