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Finding the Fourth Proportional to 18,589.23, 27,889.31 and 9,830.30

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Solution

The fourth proportional to 18,589.23, 27,889.31 and 9,830.30 is: 14,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.23 : 27,889.31 = 9,830.30 : x
  2. Step 2: Convert to fraction form
    18,589.23/27,889.31 = 9,830.30/x
  3. Step 3: Cross multiply
    18,589.23x = 27,889.31 × 9,830.30
  4. Step 4: Simplify right side
    18,589.23x = 274,160,169.22
  5. Step 5: Solve for x
    x = 274,160,169.22/18,589.23
  6. Step 6: Final answer
    x = 14,748.33

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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.