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Finding the Fourth Proportional to 3,309.86, 4,964.62 and 1,118.67

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Solution

The fourth proportional to 3,309.86, 4,964.62 and 1,118.67 is: 1,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.86 : 4,964.62 = 1,118.67 : x
  2. Step 2: Convert to fraction form
    3,309.86/4,964.62 = 1,118.67/x
  3. Step 3: Cross multiply
    3,309.86x = 4,964.62 × 1,118.67
  4. Step 4: Simplify right side
    3,309.86x = 5,553,771.46
  5. Step 5: Solve for x
    x = 5,553,771.46/3,309.86
  6. Step 6: Final answer
    x = 1,677.95

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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.