Home / 7,715.82-11,566.44-2,784.14

Finding the Fourth Proportional to 7,715.82, 11,566.44 and 2,784.14

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Solution

The fourth proportional to 7,715.82, 11,566.44 and 2,784.14 is: 4,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.82 : 11,566.44 = 2,784.14 : x
  2. Step 2: Convert to fraction form
    7,715.82/11,566.44 = 2,784.14/x
  3. Step 3: Cross multiply
    7,715.82x = 11,566.44 × 2,784.14
  4. Step 4: Simplify right side
    7,715.82x = 32,202,516.51
  5. Step 5: Solve for x
    x = 32,202,516.51/7,715.82
  6. Step 6: Final answer
    x = 4,173.57

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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.