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Finding the Fourth Proportional to 11,920.58, 16,450.43 and 6,543.06

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Solution

The fourth proportional to 11,920.58, 16,450.43 and 6,543.06 is: 9,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.58 : 16,450.43 = 6,543.06 : x
  2. Step 2: Convert to fraction form
    11,920.58/16,450.43 = 6,543.06/x
  3. Step 3: Cross multiply
    11,920.58x = 16,450.43 × 6,543.06
  4. Step 4: Simplify right side
    11,920.58x = 107,636,166.87
  5. Step 5: Solve for x
    x = 107,636,166.87/11,920.58
  6. Step 6: Final answer
    x = 9,029.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.