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Finding the Fourth Proportional to 13,513, 20,264 and 5,193.28

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Solution

The fourth proportional to 13,513, 20,264 and 5,193.28 is: 7,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513 : 20,264 = 5,193.28 : x
  2. Step 2: Convert to fraction form
    13,513/20,264 = 5,193.28/x
  3. Step 3: Cross multiply
    13,513x = 20,264 × 5,193.28
  4. Step 4: Simplify right side
    13,513x = 105,236,625.92
  5. Step 5: Solve for x
    x = 105,236,625.92/13,513
  6. Step 6: Final answer
    x = 7,787.81

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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.