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Finding the Fourth Proportional to 8,694.29, 13,041.29 and 2,120.46

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Solution

The fourth proportional to 8,694.29, 13,041.29 and 2,120.46 is: 3,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.29 : 13,041.29 = 2,120.46 : x
  2. Step 2: Convert to fraction form
    8,694.29/13,041.29 = 2,120.46/x
  3. Step 3: Cross multiply
    8,694.29x = 13,041.29 × 2,120.46
  4. Step 4: Simplify right side
    8,694.29x = 27,653,533.79
  5. Step 5: Solve for x
    x = 27,653,533.79/8,694.29
  6. Step 6: Final answer
    x = 3,180.66

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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.