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Finding the Fourth Proportional to 11,803.79, 16,290.38 and 6,768.50

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Solution

The fourth proportional to 11,803.79, 16,290.38 and 6,768.50 is: 9,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.79 : 16,290.38 = 6,768.50 : x
  2. Step 2: Convert to fraction form
    11,803.79/16,290.38 = 6,768.50/x
  3. Step 3: Cross multiply
    11,803.79x = 16,290.38 × 6,768.50
  4. Step 4: Simplify right side
    11,803.79x = 110,261,372.50
  5. Step 5: Solve for x
    x = 110,261,372.50/11,803.79
  6. Step 6: Final answer
    x = 9,341.18

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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.