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Finding the Fourth Proportional to 3,123.77, 4,687.47 and 1,891.76

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Solution

The fourth proportional to 3,123.77, 4,687.47 and 1,891.76 is: 2,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.77 : 4,687.47 = 1,891.76 : x
  2. Step 2: Convert to fraction form
    3,123.77/4,687.47 = 1,891.76/x
  3. Step 3: Cross multiply
    3,123.77x = 4,687.47 × 1,891.76
  4. Step 4: Simplify right side
    3,123.77x = 8,867,544.81
  5. Step 5: Solve for x
    x = 8,867,544.81/3,123.77
  6. Step 6: Final answer
    x = 2,838.74

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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.