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Finding the Fourth Proportional to 7,698.33, 11,539.80 and 3,011.90

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Solution

The fourth proportional to 7,698.33, 11,539.80 and 3,011.90 is: 4,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.33 : 11,539.80 = 3,011.90 : x
  2. Step 2: Convert to fraction form
    7,698.33/11,539.80 = 3,011.90/x
  3. Step 3: Cross multiply
    7,698.33x = 11,539.80 × 3,011.90
  4. Step 4: Simplify right side
    7,698.33x = 34,756,665.92
  5. Step 5: Solve for x
    x = 34,756,665.92/7,698.33
  6. Step 6: Final answer
    x = 4,514.83

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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.