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Finding the Fourth Proportional to 14,844.18, 20,485 and 8,129.86

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Solution

The fourth proportional to 14,844.18, 20,485 and 8,129.86 is: 11,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,844.18 : 20,485 = 8,129.86 : x
  2. Step 2: Convert to fraction form
    14,844.18/20,485 = 8,129.86/x
  3. Step 3: Cross multiply
    14,844.18x = 20,485 × 8,129.86
  4. Step 4: Simplify right side
    14,844.18x = 166,540,182.10
  5. Step 5: Solve for x
    x = 166,540,182.10/14,844.18
  6. Step 6: Final answer
    x = 11,219.22

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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.