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Finding the Fourth Proportional to 9,208.50, 13,814.94 and 3,052.50

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Solution

The fourth proportional to 9,208.50, 13,814.94 and 3,052.50 is: 4,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.50 : 13,814.94 = 3,052.50 : x
  2. Step 2: Convert to fraction form
    9,208.50/13,814.94 = 3,052.50/x
  3. Step 3: Cross multiply
    9,208.50x = 13,814.94 × 3,052.50
  4. Step 4: Simplify right side
    9,208.50x = 42,170,104.35
  5. Step 5: Solve for x
    x = 42,170,104.35/9,208.50
  6. Step 6: Final answer
    x = 4,579.48

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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.