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Finding the Fourth Proportional to 3,181.76, 4,774.49 and 1,332.71

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Solution

The fourth proportional to 3,181.76, 4,774.49 and 1,332.71 is: 1,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.76 : 4,774.49 = 1,332.71 : x
  2. Step 2: Convert to fraction form
    3,181.76/4,774.49 = 1,332.71/x
  3. Step 3: Cross multiply
    3,181.76x = 4,774.49 × 1,332.71
  4. Step 4: Simplify right side
    3,181.76x = 6,363,025.84
  5. Step 5: Solve for x
    x = 6,363,025.84/3,181.76
  6. Step 6: Final answer
    x = 1,999.85

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1.5x scale

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.