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Finding the Fourth Proportional to 6,682.50, 10,023.75 and 2,065.50

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Solution

The fourth proportional to 6,682.50, 10,023.75 and 2,065.50 is: 3,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.50 : 10,023.75 = 2,065.50 : x
  2. Step 2: Convert to fraction form
    6,682.50/10,023.75 = 2,065.50/x
  3. Step 3: Cross multiply
    6,682.50x = 10,023.75 × 2,065.50
  4. Step 4: Simplify right side
    6,682.50x = 20,704,055.63
  5. Step 5: Solve for x
    x = 20,704,055.63/6,682.50
  6. Step 6: Final answer
    x = 3,098.25

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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.