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Finding the Fourth Proportional to 9,210, 13,814.64 and 2,635.92

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Solution

The fourth proportional to 9,210, 13,814.64 and 2,635.92 is: 3,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210 : 13,814.64 = 2,635.92 : x
  2. Step 2: Convert to fraction form
    9,210/13,814.64 = 2,635.92/x
  3. Step 3: Cross multiply
    9,210x = 13,814.64 × 2,635.92
  4. Step 4: Simplify right side
    9,210x = 36,414,285.87
  5. Step 5: Solve for x
    x = 36,414,285.87/9,210
  6. Step 6: Final answer
    x = 3,953.78

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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.