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Finding the Fourth Proportional to 7,111.83, 9,811.20 and 6,782.43

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Solution

The fourth proportional to 7,111.83, 9,811.20 and 6,782.43 is: 9,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.83 : 9,811.20 = 6,782.43 : x
  2. Step 2: Convert to fraction form
    7,111.83/9,811.20 = 6,782.43/x
  3. Step 3: Cross multiply
    7,111.83x = 9,811.20 × 6,782.43
  4. Step 4: Simplify right side
    7,111.83x = 66,543,777.22
  5. Step 5: Solve for x
    x = 66,543,777.22/7,111.83
  6. Step 6: Final answer
    x = 9,356.77

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Why These Related Problems?

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