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Finding the Fourth Proportional to 7,722.88, 11,590.08 and 3,621.76

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Solution

The fourth proportional to 7,722.88, 11,590.08 and 3,621.76 is: 5,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.88 : 11,590.08 = 3,621.76 : x
  2. Step 2: Convert to fraction form
    7,722.88/11,590.08 = 3,621.76/x
  3. Step 3: Cross multiply
    7,722.88x = 11,590.08 × 3,621.76
  4. Step 4: Simplify right side
    7,722.88x = 41,976,488.14
  5. Step 5: Solve for x
    x = 41,976,488.14/7,722.88
  6. Step 6: Final answer
    x = 5,435.34

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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.