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Finding the Fourth Proportional to 13,591, 20,389.43 and 4,230.82

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Solution

The fourth proportional to 13,591, 20,389.43 and 4,230.82 is: 6,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591 : 20,389.43 = 4,230.82 : x
  2. Step 2: Convert to fraction form
    13,591/20,389.43 = 4,230.82/x
  3. Step 3: Cross multiply
    13,591x = 20,389.43 × 4,230.82
  4. Step 4: Simplify right side
    13,591x = 86,264,008.23
  5. Step 5: Solve for x
    x = 86,264,008.23/13,591
  6. Step 6: Final answer
    x = 6,347.14

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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.