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Finding the Fourth Proportional to 4,615.79, 6,919.83 and 2,149.34

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Solution

The fourth proportional to 4,615.79, 6,919.83 and 2,149.34 is: 3,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.79 : 6,919.83 = 2,149.34 : x
  2. Step 2: Convert to fraction form
    4,615.79/6,919.83 = 2,149.34/x
  3. Step 3: Cross multiply
    4,615.79x = 6,919.83 × 2,149.34
  4. Step 4: Simplify right side
    4,615.79x = 14,873,032.81
  5. Step 5: Solve for x
    x = 14,873,032.81/4,615.79
  6. Step 6: Final answer
    x = 3,222.21

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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.