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Finding the Fourth Proportional to 13,757.00, 18,980.80 and 7,788.53

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Solution

The fourth proportional to 13,757.00, 18,980.80 and 7,788.53 is: 10,745.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.00 : 18,980.80 = 7,788.53 : x
  2. Step 2: Convert to fraction form
    13,757.00/18,980.80 = 7,788.53/x
  3. Step 3: Cross multiply
    13,757.00x = 18,980.80 × 7,788.53
  4. Step 4: Simplify right side
    13,757.00x = 147,832,558.20
  5. Step 5: Solve for x
    x = 147,832,558.20/13,757.00
  6. Step 6: Final answer
    x = 10,745.99

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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.