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Finding the Fourth Proportional to 9,746, 14,619 and 2,450

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Solution

The fourth proportional to 9,746, 14,619 and 2,450 is: 3,675

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746 : 14,619 = 2,450 : x
  2. Step 2: Convert to fraction form
    9,746/14,619 = 2,450/x
  3. Step 3: Cross multiply
    9,746x = 14,619 × 2,450
  4. Step 4: Simplify right side
    9,746x = 35,816,550
  5. Step 5: Solve for x
    x = 35,816,550/9,746
  6. Step 6: Final answer
    x = 3,675

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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.