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Finding the Fourth Proportional to 12,888, 19,312.32 and 9,198

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Solution

The fourth proportional to 12,888, 19,312.32 and 9,198 is: 13,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888 : 19,312.32 = 9,198 : x
  2. Step 2: Convert to fraction form
    12,888/19,312.32 = 9,198/x
  3. Step 3: Cross multiply
    12,888x = 19,312.32 × 9,198
  4. Step 4: Simplify right side
    12,888x = 177,634,719.36
  5. Step 5: Solve for x
    x = 177,634,719.36/12,888
  6. Step 6: Final answer
    x = 13,782.95

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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.