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Finding the Fourth Proportional to 5,664.80, 7,815.80 and 3,425.05

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Solution

The fourth proportional to 5,664.80, 7,815.80 and 3,425.05 is: 4,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.80 : 7,815.80 = 3,425.05 : x
  2. Step 2: Convert to fraction form
    5,664.80/7,815.80 = 3,425.05/x
  3. Step 3: Cross multiply
    5,664.80x = 7,815.80 × 3,425.05
  4. Step 4: Simplify right side
    5,664.80x = 26,769,449.59
  5. Step 5: Solve for x
    x = 26,769,449.59/5,664.80
  6. Step 6: Final answer
    x = 4,725.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.