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Finding the Fourth Proportional to 2,318, 3,198.84 and 1,386.72

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Solution

The fourth proportional to 2,318, 3,198.84 and 1,386.72 is: 1,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318 : 3,198.84 = 1,386.72 : x
  2. Step 2: Convert to fraction form
    2,318/3,198.84 = 1,386.72/x
  3. Step 3: Cross multiply
    2,318x = 3,198.84 × 1,386.72
  4. Step 4: Simplify right side
    2,318x = 4,435,895.40
  5. Step 5: Solve for x
    x = 4,435,895.40/2,318
  6. Step 6: Final answer
    x = 1,913.67

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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.