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Finding the Fourth Proportional to 12,903.36, 19,350 and 8,219.22

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Solution

The fourth proportional to 12,903.36, 19,350 and 8,219.22 is: 12,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.36 : 19,350 = 8,219.22 : x
  2. Step 2: Convert to fraction form
    12,903.36/19,350 = 8,219.22/x
  3. Step 3: Cross multiply
    12,903.36x = 19,350 × 8,219.22
  4. Step 4: Simplify right side
    12,903.36x = 159,041,907
  5. Step 5: Solve for x
    x = 159,041,907/12,903.36
  6. Step 6: Final answer
    x = 12,325.62

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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.