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Finding the Fourth Proportional to 7,797.36, 11,700 and 3,414.84

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Solution

The fourth proportional to 7,797.36, 11,700 and 3,414.84 is: 5,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.36 : 11,700 = 3,414.84 : x
  2. Step 2: Convert to fraction form
    7,797.36/11,700 = 3,414.84/x
  3. Step 3: Cross multiply
    7,797.36x = 11,700 × 3,414.84
  4. Step 4: Simplify right side
    7,797.36x = 39,953,628
  5. Step 5: Solve for x
    x = 39,953,628/7,797.36
  6. Step 6: Final answer
    x = 5,123.99

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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.