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Finding the Fourth Proportional to 7,137.91, 10,707.89 and 2,207.98

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Solution

The fourth proportional to 7,137.91, 10,707.89 and 2,207.98 is: 3,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.91 : 10,707.89 = 2,207.98 : x
  2. Step 2: Convert to fraction form
    7,137.91/10,707.89 = 2,207.98/x
  3. Step 3: Cross multiply
    7,137.91x = 10,707.89 × 2,207.98
  4. Step 4: Simplify right side
    7,137.91x = 23,642,806.96
  5. Step 5: Solve for x
    x = 23,642,806.96/7,137.91
  6. Step 6: Final answer
    x = 3,312.29

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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.