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Finding the Fourth Proportional to 5,890.78, 8,835.36 and 1,994.68

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Solution

The fourth proportional to 5,890.78, 8,835.36 and 1,994.68 is: 2,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.78 : 8,835.36 = 1,994.68 : x
  2. Step 2: Convert to fraction form
    5,890.78/8,835.36 = 1,994.68/x
  3. Step 3: Cross multiply
    5,890.78x = 8,835.36 × 1,994.68
  4. Step 4: Simplify right side
    5,890.78x = 17,623,715.88
  5. Step 5: Solve for x
    x = 17,623,715.88/5,890.78
  6. Step 6: Final answer
    x = 2,991.75

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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.