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Finding the Fourth Proportional to 10,894, 16,341.04 and 2,686

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Solution

The fourth proportional to 10,894, 16,341.04 and 2,686 is: 4,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894 : 16,341.04 = 2,686 : x
  2. Step 2: Convert to fraction form
    10,894/16,341.04 = 2,686/x
  3. Step 3: Cross multiply
    10,894x = 16,341.04 × 2,686
  4. Step 4: Simplify right side
    10,894x = 43,892,033.44
  5. Step 5: Solve for x
    x = 43,892,033.44/10,894
  6. Step 6: Final answer
    x = 4,029.01

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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.