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Finding the Fourth Proportional to 9,660, 14,490 and 2,734.50

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Solution

The fourth proportional to 9,660, 14,490 and 2,734.50 is: 4,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660 : 14,490 = 2,734.50 : x
  2. Step 2: Convert to fraction form
    9,660/14,490 = 2,734.50/x
  3. Step 3: Cross multiply
    9,660x = 14,490 × 2,734.50
  4. Step 4: Simplify right side
    9,660x = 39,622,905
  5. Step 5: Solve for x
    x = 39,622,905/9,660
  6. Step 6: Final answer
    x = 4,101.75

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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.