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Finding the Fourth Proportional to 18,339, 27,508.32 and 5,189.64

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Solution

The fourth proportional to 18,339, 27,508.32 and 5,189.64 is: 7,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,339 : 27,508.32 = 5,189.64 : x
  2. Step 2: Convert to fraction form
    18,339/27,508.32 = 5,189.64/x
  3. Step 3: Cross multiply
    18,339x = 27,508.32 × 5,189.64
  4. Step 4: Simplify right side
    18,339x = 142,758,277.80
  5. Step 5: Solve for x
    x = 142,758,277.80/18,339
  6. Step 6: Final answer
    x = 7,784.41

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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.