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Finding the Fourth Proportional to 9,105, 13,657.50 and 2,949

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Solution

The fourth proportional to 9,105, 13,657.50 and 2,949 is: 4,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105 : 13,657.50 = 2,949 : x
  2. Step 2: Convert to fraction form
    9,105/13,657.50 = 2,949/x
  3. Step 3: Cross multiply
    9,105x = 13,657.50 × 2,949
  4. Step 4: Simplify right side
    9,105x = 40,275,967.50
  5. Step 5: Solve for x
    x = 40,275,967.50/9,105
  6. Step 6: Final answer
    x = 4,423.50

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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.