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Finding the Fourth Proportional to 3,638.99, 5,458.52 and 1,299.11

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Solution

The fourth proportional to 3,638.99, 5,458.52 and 1,299.11 is: 1,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.99 : 5,458.52 = 1,299.11 : x
  2. Step 2: Convert to fraction form
    3,638.99/5,458.52 = 1,299.11/x
  3. Step 3: Cross multiply
    3,638.99x = 5,458.52 × 1,299.11
  4. Step 4: Simplify right side
    3,638.99x = 7,091,193.87
  5. Step 5: Solve for x
    x = 7,091,193.87/3,638.99
  6. Step 6: Final answer
    x = 1,948.67

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1.5x scale

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.