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Finding the Fourth Proportional to 7,927.18, 11,879.76 and 7,690.66

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Solution

The fourth proportional to 7,927.18, 11,879.76 and 7,690.66 is: 11,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.18 : 11,879.76 = 7,690.66 : x
  2. Step 2: Convert to fraction form
    7,927.18/11,879.76 = 7,690.66/x
  3. Step 3: Cross multiply
    7,927.18x = 11,879.76 × 7,690.66
  4. Step 4: Simplify right side
    7,927.18x = 91,363,195.04
  5. Step 5: Solve for x
    x = 91,363,195.04/7,927.18
  6. Step 6: Final answer
    x = 11,525.31

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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.