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Finding the Fourth Proportional to 20,698.75, 31,052.74 and 7,551.12

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Solution

The fourth proportional to 20,698.75, 31,052.74 and 7,551.12 is: 11,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.75 : 31,052.74 = 7,551.12 : x
  2. Step 2: Convert to fraction form
    20,698.75/31,052.74 = 7,551.12/x
  3. Step 3: Cross multiply
    20,698.75x = 31,052.74 × 7,551.12
  4. Step 4: Simplify right side
    20,698.75x = 234,483,099.03
  5. Step 5: Solve for x
    x = 234,483,099.03/20,698.75
  6. Step 6: Final answer
    x = 11,328.37

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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.