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Finding the Fourth Proportional to 8,838, 12,198.06 and 5,112

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Solution

The fourth proportional to 8,838, 12,198.06 and 5,112 is: 7,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838 : 12,198.06 = 5,112 : x
  2. Step 2: Convert to fraction form
    8,838/12,198.06 = 5,112/x
  3. Step 3: Cross multiply
    8,838x = 12,198.06 × 5,112
  4. Step 4: Simplify right side
    8,838x = 62,356,482.72
  5. Step 5: Solve for x
    x = 62,356,482.72/8,838
  6. Step 6: Final answer
    x = 7,055.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.