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Finding the Fourth Proportional to 7,898.75, 11,855.41 and 4,005.89

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Solution

The fourth proportional to 7,898.75, 11,855.41 and 4,005.89 is: 6,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.75 : 11,855.41 = 4,005.89 : x
  2. Step 2: Convert to fraction form
    7,898.75/11,855.41 = 4,005.89/x
  3. Step 3: Cross multiply
    7,898.75x = 11,855.41 × 4,005.89
  4. Step 4: Simplify right side
    7,898.75x = 47,491,399.07
  5. Step 5: Solve for x
    x = 47,491,399.07/7,898.75
  6. Step 6: Final answer
    x = 6,012.52

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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.