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Finding the Fourth Proportional to 12,930.08, 19,398 and 7,083.68

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Solution

The fourth proportional to 12,930.08, 19,398 and 7,083.68 is: 10,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.08 : 19,398 = 7,083.68 : x
  2. Step 2: Convert to fraction form
    12,930.08/19,398 = 7,083.68/x
  3. Step 3: Cross multiply
    12,930.08x = 19,398 × 7,083.68
  4. Step 4: Simplify right side
    12,930.08x = 137,409,224.64
  5. Step 5: Solve for x
    x = 137,409,224.64/12,930.08
  6. Step 6: Final answer
    x = 10,627.10

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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.