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Finding the Fourth Proportional to 5,721, 7,894.98 and 3,237

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Solution

The fourth proportional to 5,721, 7,894.98 and 3,237 is: 4,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721 : 7,894.98 = 3,237 : x
  2. Step 2: Convert to fraction form
    5,721/7,894.98 = 3,237/x
  3. Step 3: Cross multiply
    5,721x = 7,894.98 × 3,237
  4. Step 4: Simplify right side
    5,721x = 25,556,050.26
  5. Step 5: Solve for x
    x = 25,556,050.26/5,721
  6. Step 6: Final answer
    x = 4,467.06

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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.