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Finding the Fourth Proportional to 8,394.51, 12,581.44 and 3,709.47

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Solution

The fourth proportional to 8,394.51, 12,581.44 and 3,709.47 is: 5,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.51 : 12,581.44 = 3,709.47 : x
  2. Step 2: Convert to fraction form
    8,394.51/12,581.44 = 3,709.47/x
  3. Step 3: Cross multiply
    8,394.51x = 12,581.44 × 3,709.47
  4. Step 4: Simplify right side
    8,394.51x = 46,670,464.96
  5. Step 5: Solve for x
    x = 46,670,464.96/8,394.51
  6. Step 6: Final answer
    x = 5,559.64

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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.