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Finding the Fourth Proportional to 7,142.98, 10,717.28 and 2,213.00

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Solution

The fourth proportional to 7,142.98, 10,717.28 and 2,213.00 is: 3,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.98 : 10,717.28 = 2,213.00 : x
  2. Step 2: Convert to fraction form
    7,142.98/10,717.28 = 2,213.00/x
  3. Step 3: Cross multiply
    7,142.98x = 10,717.28 × 2,213.00
  4. Step 4: Simplify right side
    7,142.98x = 23,717,313.85
  5. Step 5: Solve for x
    x = 23,717,313.85/7,142.98
  6. Step 6: Final answer
    x = 3,320.37

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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.