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Finding the Fourth Proportional to 7,580, 11,370 and 2,108

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Solution

The fourth proportional to 7,580, 11,370 and 2,108 is: 3,162

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580 : 11,370 = 2,108 : x
  2. Step 2: Convert to fraction form
    7,580/11,370 = 2,108/x
  3. Step 3: Cross multiply
    7,580x = 11,370 × 2,108
  4. Step 4: Simplify right side
    7,580x = 23,967,960
  5. Step 5: Solve for x
    x = 23,967,960/7,580
  6. Step 6: Final answer
    x = 3,162

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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.