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Finding the Fourth Proportional to 4,419, 6,628.16 and 2,568.93

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Solution

The fourth proportional to 4,419, 6,628.16 and 2,568.93 is: 3,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419 : 6,628.16 = 2,568.93 : x
  2. Step 2: Convert to fraction form
    4,419/6,628.16 = 2,568.93/x
  3. Step 3: Cross multiply
    4,419x = 6,628.16 × 2,568.93
  4. Step 4: Simplify right side
    4,419x = 17,027,266.22
  5. Step 5: Solve for x
    x = 17,027,266.22/4,419
  6. Step 6: Final answer
    x = 3,853.19

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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.