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Finding the Fourth Proportional to 7,136.87, 10,699.95 and 2,203.61

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Solution

The fourth proportional to 7,136.87, 10,699.95 and 2,203.61 is: 3,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.87 : 10,699.95 = 2,203.61 : x
  2. Step 2: Convert to fraction form
    7,136.87/10,699.95 = 2,203.61/x
  3. Step 3: Cross multiply
    7,136.87x = 10,699.95 × 2,203.61
  4. Step 4: Simplify right side
    7,136.87x = 23,578,516.82
  5. Step 5: Solve for x
    x = 23,578,516.82/7,136.87
  6. Step 6: Final answer
    x = 3,303.76

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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.