Home / 11,296.72-15,584.16-7,102

Finding the Fourth Proportional to 11,296.72, 15,584.16 and 7,102

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Solution

The fourth proportional to 11,296.72, 15,584.16 and 7,102 is: 9,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.72 : 15,584.16 = 7,102 : x
  2. Step 2: Convert to fraction form
    11,296.72/15,584.16 = 7,102/x
  3. Step 3: Cross multiply
    11,296.72x = 15,584.16 × 7,102
  4. Step 4: Simplify right side
    11,296.72x = 110,678,704.32
  5. Step 5: Solve for x
    x = 110,678,704.32/11,296.72
  6. Step 6: Final answer
    x = 9,797.42

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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.