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Finding the Fourth Proportional to 6,558.54, 9,838.80 and 2,175

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Solution

The fourth proportional to 6,558.54, 9,838.80 and 2,175 is: 3,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.54 : 9,838.80 = 2,175 : x
  2. Step 2: Convert to fraction form
    6,558.54/9,838.80 = 2,175/x
  3. Step 3: Cross multiply
    6,558.54x = 9,838.80 × 2,175
  4. Step 4: Simplify right side
    6,558.54x = 21,399,390
  5. Step 5: Solve for x
    x = 21,399,390/6,558.54
  6. Step 6: Final answer
    x = 3,262.83

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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.