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Finding the Fourth Proportional to 3,138, 4,329.21 and 2,018.76

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Solution

The fourth proportional to 3,138, 4,329.21 and 2,018.76 is: 2,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138 : 4,329.21 = 2,018.76 : x
  2. Step 2: Convert to fraction form
    3,138/4,329.21 = 2,018.76/x
  3. Step 3: Cross multiply
    3,138x = 4,329.21 × 2,018.76
  4. Step 4: Simplify right side
    3,138x = 8,739,635.98
  5. Step 5: Solve for x
    x = 8,739,635.98/3,138
  6. Step 6: Final answer
    x = 2,785.10

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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.