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Finding the Fourth Proportional to 13,745.75, 18,969.14 and 7,777.29

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Solution

The fourth proportional to 13,745.75, 18,969.14 and 7,777.29 is: 10,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.75 : 18,969.14 = 7,777.29 : x
  2. Step 2: Convert to fraction form
    13,745.75/18,969.14 = 7,777.29/x
  3. Step 3: Cross multiply
    13,745.75x = 18,969.14 × 7,777.29
  4. Step 4: Simplify right side
    13,745.75x = 147,528,502.83
  5. Step 5: Solve for x
    x = 147,528,502.83/13,745.75
  6. Step 6: Final answer
    x = 10,732.66

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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.