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Finding the Fourth Proportional to 11,920.69, 17,878.98 and 3,156.49

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Solution

The fourth proportional to 11,920.69, 17,878.98 and 3,156.49 is: 4,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.69 : 17,878.98 = 3,156.49 : x
  2. Step 2: Convert to fraction form
    11,920.69/17,878.98 = 3,156.49/x
  3. Step 3: Cross multiply
    11,920.69x = 17,878.98 × 3,156.49
  4. Step 4: Simplify right side
    11,920.69x = 56,434,821.58
  5. Step 5: Solve for x
    x = 56,434,821.58/11,920.69
  6. Step 6: Final answer
    x = 4,734.19

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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.