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Finding the Fourth Proportional to 2,579.67, 3,869.91 and 847.89

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Solution

The fourth proportional to 2,579.67, 3,869.91 and 847.89 is: 1,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.67 : 3,869.91 = 847.89 : x
  2. Step 2: Convert to fraction form
    2,579.67/3,869.91 = 847.89/x
  3. Step 3: Cross multiply
    2,579.67x = 3,869.91 × 847.89
  4. Step 4: Simplify right side
    2,579.67x = 3,281,257.99
  5. Step 5: Solve for x
    x = 3,281,257.99/2,579.67
  6. Step 6: Final answer
    x = 1,271.97

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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.