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Finding the Fourth Proportional to 7,122.50, 9,828.99 and 3,936

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Solution

The fourth proportional to 7,122.50, 9,828.99 and 3,936 is: 5,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.50 : 9,828.99 = 3,936 : x
  2. Step 2: Convert to fraction form
    7,122.50/9,828.99 = 3,936/x
  3. Step 3: Cross multiply
    7,122.50x = 9,828.99 × 3,936
  4. Step 4: Simplify right side
    7,122.50x = 38,686,904.64
  5. Step 5: Solve for x
    x = 38,686,904.64/7,122.50
  6. Step 6: Final answer
    x = 5,431.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.