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Finding the Fourth Proportional to 9,686, 14,529 and 2,390

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Solution

The fourth proportional to 9,686, 14,529 and 2,390 is: 3,585

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686 : 14,529 = 2,390 : x
  2. Step 2: Convert to fraction form
    9,686/14,529 = 2,390/x
  3. Step 3: Cross multiply
    9,686x = 14,529 × 2,390
  4. Step 4: Simplify right side
    9,686x = 34,724,310
  5. Step 5: Solve for x
    x = 34,724,310/9,686
  6. Step 6: Final answer
    x = 3,585

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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.