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Finding the Fourth Proportional to 6,219, 9,328.50 and 2,115

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Solution

The fourth proportional to 6,219, 9,328.50 and 2,115 is: 3,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219 : 9,328.50 = 2,115 : x
  2. Step 2: Convert to fraction form
    6,219/9,328.50 = 2,115/x
  3. Step 3: Cross multiply
    6,219x = 9,328.50 × 2,115
  4. Step 4: Simplify right side
    6,219x = 19,729,777.50
  5. Step 5: Solve for x
    x = 19,729,777.50/6,219
  6. Step 6: Final answer
    x = 3,172.50

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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.