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Finding the Fourth Proportional to 5,784.86, 8,678.64 and 1,889.25

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Solution

The fourth proportional to 5,784.86, 8,678.64 and 1,889.25 is: 2,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.86 : 8,678.64 = 1,889.25 : x
  2. Step 2: Convert to fraction form
    5,784.86/8,678.64 = 1,889.25/x
  3. Step 3: Cross multiply
    5,784.86x = 8,678.64 × 1,889.25
  4. Step 4: Simplify right side
    5,784.86x = 16,396,120.62
  5. Step 5: Solve for x
    x = 16,396,120.62/5,784.86
  6. Step 6: Final answer
    x = 2,834.32

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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.