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Finding the Fourth Proportional to 15,667, 23,505 and 7,771.93

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Solution

The fourth proportional to 15,667, 23,505 and 7,771.93 is: 11,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667 : 23,505 = 7,771.93 : x
  2. Step 2: Convert to fraction form
    15,667/23,505 = 7,771.93/x
  3. Step 3: Cross multiply
    15,667x = 23,505 × 7,771.93
  4. Step 4: Simplify right side
    15,667x = 182,679,214.65
  5. Step 5: Solve for x
    x = 182,679,214.65/15,667
  6. Step 6: Final answer
    x = 11,660.13

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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.