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Finding the Fourth Proportional to 3,182.00, 4,774.14 and 1,426.86

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Solution

The fourth proportional to 3,182.00, 4,774.14 and 1,426.86 is: 2,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.00 : 4,774.14 = 1,426.86 : x
  2. Step 2: Convert to fraction form
    3,182.00/4,774.14 = 1,426.86/x
  3. Step 3: Cross multiply
    3,182.00x = 4,774.14 × 1,426.86
  4. Step 4: Simplify right side
    3,182.00x = 6,812,029.40
  5. Step 5: Solve for x
    x = 6,812,029.40/3,182.00
  6. Step 6: Final answer
    x = 2,140.80

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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.