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Finding the Fourth Proportional to 13,766.10, 18,993.96 and 8,101.10

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Solution

The fourth proportional to 13,766.10, 18,993.96 and 8,101.10 is: 11,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.10 : 18,993.96 = 8,101.10 : x
  2. Step 2: Convert to fraction form
    13,766.10/18,993.96 = 8,101.10/x
  3. Step 3: Cross multiply
    13,766.10x = 18,993.96 × 8,101.10
  4. Step 4: Simplify right side
    13,766.10x = 153,871,969.36
  5. Step 5: Solve for x
    x = 153,871,969.36/13,766.10
  6. Step 6: Final answer
    x = 11,177.60

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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.