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Finding the Fourth Proportional to 13,128.81, 18,114.48 and 8,023.02

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Solution

The fourth proportional to 13,128.81, 18,114.48 and 8,023.02 is: 11,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.81 : 18,114.48 = 8,023.02 : x
  2. Step 2: Convert to fraction form
    13,128.81/18,114.48 = 8,023.02/x
  3. Step 3: Cross multiply
    13,128.81x = 18,114.48 × 8,023.02
  4. Step 4: Simplify right side
    13,128.81x = 145,332,835.33
  5. Step 5: Solve for x
    x = 145,332,835.33/13,128.81
  6. Step 6: Final answer
    x = 11,069.76

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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.