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Finding the Fourth Proportional to 13,763.63, 18,994.07 and 7,795.28

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Solution

The fourth proportional to 13,763.63, 18,994.07 and 7,795.28 is: 10,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.63 : 18,994.07 = 7,795.28 : x
  2. Step 2: Convert to fraction form
    13,763.63/18,994.07 = 7,795.28/x
  3. Step 3: Cross multiply
    13,763.63x = 18,994.07 × 7,795.28
  4. Step 4: Simplify right side
    13,763.63x = 148,064,093.99
  5. Step 5: Solve for x
    x = 148,064,093.99/13,763.63
  6. Step 6: Final answer
    x = 10,757.63

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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.