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Finding the Fourth Proportional to 7,788.88, 11,674.14 and 2,855.32

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Solution

The fourth proportional to 7,788.88, 11,674.14 and 2,855.32 is: 4,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.88 : 11,674.14 = 2,855.32 : x
  2. Step 2: Convert to fraction form
    7,788.88/11,674.14 = 2,855.32/x
  3. Step 3: Cross multiply
    7,788.88x = 11,674.14 × 2,855.32
  4. Step 4: Simplify right side
    7,788.88x = 33,333,405.42
  5. Step 5: Solve for x
    x = 33,333,405.42/7,788.88
  6. Step 6: Final answer
    x = 4,279.61

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1.5x scale

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.