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Finding the Fourth Proportional to 3,182.76, 4,390.61 and 2,133

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Solution

The fourth proportional to 3,182.76, 4,390.61 and 2,133 is: 2,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.76 : 4,390.61 = 2,133 : x
  2. Step 2: Convert to fraction form
    3,182.76/4,390.61 = 2,133/x
  3. Step 3: Cross multiply
    3,182.76x = 4,390.61 × 2,133
  4. Step 4: Simplify right side
    3,182.76x = 9,365,160.47
  5. Step 5: Solve for x
    x = 9,365,160.47/3,182.76
  6. Step 6: Final answer
    x = 2,942.47

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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.