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Finding the Fourth Proportional to 23,035, 34,552.50 and 6,619

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Solution

The fourth proportional to 23,035, 34,552.50 and 6,619 is: 9,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035 : 34,552.50 = 6,619 : x
  2. Step 2: Convert to fraction form
    23,035/34,552.50 = 6,619/x
  3. Step 3: Cross multiply
    23,035x = 34,552.50 × 6,619
  4. Step 4: Simplify right side
    23,035x = 228,702,997.50
  5. Step 5: Solve for x
    x = 228,702,997.50/23,035
  6. Step 6: Final answer
    x = 9,928.50

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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.