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Finding the Fourth Proportional to 3,333.64, 4,999.86 and 868.31

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Solution

The fourth proportional to 3,333.64, 4,999.86 and 868.31 is: 1,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.64 : 4,999.86 = 868.31 : x
  2. Step 2: Convert to fraction form
    3,333.64/4,999.86 = 868.31/x
  3. Step 3: Cross multiply
    3,333.64x = 4,999.86 × 868.31
  4. Step 4: Simplify right side
    3,333.64x = 4,341,413.32
  5. Step 5: Solve for x
    x = 4,341,413.32/3,333.64
  6. Step 6: Final answer
    x = 1,302.31

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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.