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Finding the Fourth Proportional to 6,478.99, 9,711.54 and 3,699.67

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Solution

The fourth proportional to 6,478.99, 9,711.54 and 3,699.67 is: 5,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.99 : 9,711.54 = 3,699.67 : x
  2. Step 2: Convert to fraction form
    6,478.99/9,711.54 = 3,699.67/x
  3. Step 3: Cross multiply
    6,478.99x = 9,711.54 × 3,699.67
  4. Step 4: Simplify right side
    6,478.99x = 35,929,493.19
  5. Step 5: Solve for x
    x = 35,929,493.19/6,478.99
  6. Step 6: Final answer
    x = 5,545.54

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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.