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Finding the Fourth Proportional to 18,022, 27,014.76 and 8,648.24

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Solution

The fourth proportional to 18,022, 27,014.76 and 8,648.24 is: 12,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,022 : 27,014.76 = 8,648.24 : x
  2. Step 2: Convert to fraction form
    18,022/27,014.76 = 8,648.24/x
  3. Step 3: Cross multiply
    18,022x = 27,014.76 × 8,648.24
  4. Step 4: Simplify right side
    18,022x = 233,630,128.02
  5. Step 5: Solve for x
    x = 233,630,128.02/18,022
  6. Step 6: Final answer
    x = 12,963.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.