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Finding the Fourth Proportional to 5,804.64, 8,708.04 and 1,911.78

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Solution

The fourth proportional to 5,804.64, 8,708.04 and 1,911.78 is: 2,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.64 : 8,708.04 = 1,911.78 : x
  2. Step 2: Convert to fraction form
    5,804.64/8,708.04 = 1,911.78/x
  3. Step 3: Cross multiply
    5,804.64x = 8,708.04 × 1,911.78
  4. Step 4: Simplify right side
    5,804.64x = 16,647,856.71
  5. Step 5: Solve for x
    x = 16,647,856.71/5,804.64
  6. Step 6: Final answer
    x = 2,868.03

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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.