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Finding the Fourth Proportional to 10,927.90, 16,391.94 and 6,779.98

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Solution

The fourth proportional to 10,927.90, 16,391.94 and 6,779.98 is: 10,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.90 : 16,391.94 = 6,779.98 : x
  2. Step 2: Convert to fraction form
    10,927.90/16,391.94 = 6,779.98/x
  3. Step 3: Cross multiply
    10,927.90x = 16,391.94 × 6,779.98
  4. Step 4: Simplify right side
    10,927.90x = 111,137,025.36
  5. Step 5: Solve for x
    x = 111,137,025.36/10,927.90
  6. Step 6: Final answer
    x = 10,170.03

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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.