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Finding the Fourth Proportional to 1,556.47, 2,147.29 and 996.81

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Solution

The fourth proportional to 1,556.47, 2,147.29 and 996.81 is: 1,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.47 : 2,147.29 = 996.81 : x
  2. Step 2: Convert to fraction form
    1,556.47/2,147.29 = 996.81/x
  3. Step 3: Cross multiply
    1,556.47x = 2,147.29 × 996.81
  4. Step 4: Simplify right side
    1,556.47x = 2,140,440.14
  5. Step 5: Solve for x
    x = 2,140,440.14/1,556.47
  6. Step 6: Final answer
    x = 1,375.19

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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.