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Finding the Fourth Proportional to 13,730.91, 18,949.47 and 7,763.14

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Solution

The fourth proportional to 13,730.91, 18,949.47 and 7,763.14 is: 10,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.91 : 18,949.47 = 7,763.14 : x
  2. Step 2: Convert to fraction form
    13,730.91/18,949.47 = 7,763.14/x
  3. Step 3: Cross multiply
    13,730.91x = 18,949.47 × 7,763.14
  4. Step 4: Simplify right side
    13,730.91x = 147,107,388.54
  5. Step 5: Solve for x
    x = 147,107,388.54/13,730.91
  6. Step 6: Final answer
    x = 10,713.59

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1.5x scale

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.