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Finding the Fourth Proportional to 3,182.34, 4,774.86 and 1,719.80

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Solution

The fourth proportional to 3,182.34, 4,774.86 and 1,719.80 is: 2,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.34 : 4,774.86 = 1,719.80 : x
  2. Step 2: Convert to fraction form
    3,182.34/4,774.86 = 1,719.80/x
  3. Step 3: Cross multiply
    3,182.34x = 4,774.86 × 1,719.80
  4. Step 4: Simplify right side
    3,182.34x = 8,211,804.23
  5. Step 5: Solve for x
    x = 8,211,804.23/3,182.34
  6. Step 6: Final answer
    x = 2,580.43

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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.