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Finding the Fourth Proportional to 13,720.92, 18,934.95 and 7,433.30

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Solution

The fourth proportional to 13,720.92, 18,934.95 and 7,433.30 is: 10,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.92 : 18,934.95 = 7,433.30 : x
  2. Step 2: Convert to fraction form
    13,720.92/18,934.95 = 7,433.30/x
  3. Step 3: Cross multiply
    13,720.92x = 18,934.95 × 7,433.30
  4. Step 4: Simplify right side
    13,720.92x = 140,749,069.16
  5. Step 5: Solve for x
    x = 140,749,069.16/13,720.92
  6. Step 6: Final answer
    x = 10,257.99

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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.