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Finding the Fourth Proportional to 8,736, 13,111.29 and 4,119

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Solution

The fourth proportional to 8,736, 13,111.29 and 4,119 is: 6,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736 : 13,111.29 = 4,119 : x
  2. Step 2: Convert to fraction form
    8,736/13,111.29 = 4,119/x
  3. Step 3: Cross multiply
    8,736x = 13,111.29 × 4,119
  4. Step 4: Simplify right side
    8,736x = 54,005,403.51
  5. Step 5: Solve for x
    x = 54,005,403.51/8,736
  6. Step 6: Final answer
    x = 6,181.94

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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.