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Finding the Fourth Proportional to 3,789.84, 5,678.58 and 2,325.90

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Solution

The fourth proportional to 3,789.84, 5,678.58 and 2,325.90 is: 3,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.84 : 5,678.58 = 2,325.90 : x
  2. Step 2: Convert to fraction form
    3,789.84/5,678.58 = 2,325.90/x
  3. Step 3: Cross multiply
    3,789.84x = 5,678.58 × 2,325.90
  4. Step 4: Simplify right side
    3,789.84x = 13,207,809.22
  5. Step 5: Solve for x
    x = 13,207,809.22/3,789.84
  6. Step 6: Final answer
    x = 3,485.06

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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.