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Finding the Fourth Proportional to 7,189.31, 9,921.40 and 4,002.86

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Solution

The fourth proportional to 7,189.31, 9,921.40 and 4,002.86 is: 5,524.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.31 : 9,921.40 = 4,002.86 : x
  2. Step 2: Convert to fraction form
    7,189.31/9,921.40 = 4,002.86/x
  3. Step 3: Cross multiply
    7,189.31x = 9,921.40 × 4,002.86
  4. Step 4: Simplify right side
    7,189.31x = 39,713,990.00
  5. Step 5: Solve for x
    x = 39,713,990.00/7,189.31
  6. Step 6: Final answer
    x = 5,524.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.