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Finding the Fourth Proportional to 13,806.55, 19,054.07 and 7,757.49

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Solution

The fourth proportional to 13,806.55, 19,054.07 and 7,757.49 is: 10,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.55 : 19,054.07 = 7,757.49 : x
  2. Step 2: Convert to fraction form
    13,806.55/19,054.07 = 7,757.49/x
  3. Step 3: Cross multiply
    13,806.55x = 19,054.07 × 7,757.49
  4. Step 4: Simplify right side
    13,806.55x = 147,811,645.46
  5. Step 5: Solve for x
    x = 147,811,645.46/13,806.55
  6. Step 6: Final answer
    x = 10,705.91

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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.