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Finding the Fourth Proportional to 5,421, 8,131.92 and 2,343

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Solution

The fourth proportional to 5,421, 8,131.92 and 2,343 is: 3,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421 : 8,131.92 = 2,343 : x
  2. Step 2: Convert to fraction form
    5,421/8,131.92 = 2,343/x
  3. Step 3: Cross multiply
    5,421x = 8,131.92 × 2,343
  4. Step 4: Simplify right side
    5,421x = 19,053,088.56
  5. Step 5: Solve for x
    x = 19,053,088.56/5,421
  6. Step 6: Final answer
    x = 3,514.68

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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.