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Finding the Fourth Proportional to 11,757.88, 16,223.34 and 6,787

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Solution

The fourth proportional to 11,757.88, 16,223.34 and 6,787 is: 9,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.88 : 16,223.34 = 6,787 : x
  2. Step 2: Convert to fraction form
    11,757.88/16,223.34 = 6,787/x
  3. Step 3: Cross multiply
    11,757.88x = 16,223.34 × 6,787
  4. Step 4: Simplify right side
    11,757.88x = 110,107,808.58
  5. Step 5: Solve for x
    x = 110,107,808.58/11,757.88
  6. Step 6: Final answer
    x = 9,364.60

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1.5x scale

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.