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Finding the Fourth Proportional to 5,338.00, 8,008.03 and 1,639.57

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Solution

The fourth proportional to 5,338.00, 8,008.03 and 1,639.57 is: 2,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.00 : 8,008.03 = 1,639.57 : x
  2. Step 2: Convert to fraction form
    5,338.00/8,008.03 = 1,639.57/x
  3. Step 3: Cross multiply
    5,338.00x = 8,008.03 × 1,639.57
  4. Step 4: Simplify right side
    5,338.00x = 13,129,717.55
  5. Step 5: Solve for x
    x = 13,129,717.55/5,338.00
  6. Step 6: Final answer
    x = 2,459.67

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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.