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Finding the Fourth Proportional to 8,736.81, 13,107.37 and 2,894.01

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Solution

The fourth proportional to 8,736.81, 13,107.37 and 2,894.01 is: 4,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.81 : 13,107.37 = 2,894.01 : x
  2. Step 2: Convert to fraction form
    8,736.81/13,107.37 = 2,894.01/x
  3. Step 3: Cross multiply
    8,736.81x = 13,107.37 × 2,894.01
  4. Step 4: Simplify right side
    8,736.81x = 37,932,794.32
  5. Step 5: Solve for x
    x = 37,932,794.32/8,736.81
  6. Step 6: Final answer
    x = 4,341.72

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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.