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Finding the Fourth Proportional to 7,333, 10,999.82 and 2,139.32

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Solution

The fourth proportional to 7,333, 10,999.82 and 2,139.32 is: 3,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333 : 10,999.82 = 2,139.32 : x
  2. Step 2: Convert to fraction form
    7,333/10,999.82 = 2,139.32/x
  3. Step 3: Cross multiply
    7,333x = 10,999.82 × 2,139.32
  4. Step 4: Simplify right side
    7,333x = 23,532,134.92
  5. Step 5: Solve for x
    x = 23,532,134.92/7,333
  6. Step 6: Final answer
    x = 3,209.07

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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.