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Finding the Fourth Proportional to 3,133.17, 4,699.04 and 911.99

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Solution

The fourth proportional to 3,133.17, 4,699.04 and 911.99 is: 1,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.17 : 4,699.04 = 911.99 : x
  2. Step 2: Convert to fraction form
    3,133.17/4,699.04 = 911.99/x
  3. Step 3: Cross multiply
    3,133.17x = 4,699.04 × 911.99
  4. Step 4: Simplify right side
    3,133.17x = 4,285,484.68
  5. Step 5: Solve for x
    x = 4,285,484.68/3,133.17
  6. Step 6: Final answer
    x = 1,367.78

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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.