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Finding the Fourth Proportional to 18,025.43, 27,038.14 and 6,782.88

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Solution

The fourth proportional to 18,025.43, 27,038.14 and 6,782.88 is: 10,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,025.43 : 27,038.14 = 6,782.88 : x
  2. Step 2: Convert to fraction form
    18,025.43/27,038.14 = 6,782.88/x
  3. Step 3: Cross multiply
    18,025.43x = 27,038.14 × 6,782.88
  4. Step 4: Simplify right side
    18,025.43x = 183,396,442.09
  5. Step 5: Solve for x
    x = 183,396,442.09/18,025.43
  6. Step 6: Final answer
    x = 10,174.32

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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.