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Finding the Fourth Proportional to 7,703, 11,556.42 and 2,231

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Solution

The fourth proportional to 7,703, 11,556.42 and 2,231 is: 3,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703 : 11,556.42 = 2,231 : x
  2. Step 2: Convert to fraction form
    7,703/11,556.42 = 2,231/x
  3. Step 3: Cross multiply
    7,703x = 11,556.42 × 2,231
  4. Step 4: Simplify right side
    7,703x = 25,782,373.02
  5. Step 5: Solve for x
    x = 25,782,373.02/7,703
  6. Step 6: Final answer
    x = 3,347.06

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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.