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Finding the Fourth Proportional to 9,405, 14,107.50 and 3,249

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Solution

The fourth proportional to 9,405, 14,107.50 and 3,249 is: 4,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405 : 14,107.50 = 3,249 : x
  2. Step 2: Convert to fraction form
    9,405/14,107.50 = 3,249/x
  3. Step 3: Cross multiply
    9,405x = 14,107.50 × 3,249
  4. Step 4: Simplify right side
    9,405x = 45,835,267.50
  5. Step 5: Solve for x
    x = 45,835,267.50/9,405
  6. Step 6: Final answer
    x = 4,873.50

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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.