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Finding the Fourth Proportional to 3,333.26, 4,999.89 and 868.07

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Solution

The fourth proportional to 3,333.26, 4,999.89 and 868.07 is: 1,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.26 : 4,999.89 = 868.07 : x
  2. Step 2: Convert to fraction form
    3,333.26/4,999.89 = 868.07/x
  3. Step 3: Cross multiply
    3,333.26x = 4,999.89 × 868.07
  4. Step 4: Simplify right side
    3,333.26x = 4,340,267.01
  5. Step 5: Solve for x
    x = 4,340,267.01/3,333.26
  6. Step 6: Final answer
    x = 1,302.11

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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.