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Finding the Fourth Proportional to 15,425, 23,138.58 and 6,191

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Solution

The fourth proportional to 15,425, 23,138.58 and 6,191 is: 9,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,425 : 23,138.58 = 6,191 : x
  2. Step 2: Convert to fraction form
    15,425/23,138.58 = 6,191/x
  3. Step 3: Cross multiply
    15,425x = 23,138.58 × 6,191
  4. Step 4: Simplify right side
    15,425x = 143,250,948.78
  5. Step 5: Solve for x
    x = 143,250,948.78/15,425
  6. Step 6: Final answer
    x = 9,286.93

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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.