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Finding the Fourth Proportional to 6,564, 9,059.40 and 3,768.96

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Solution

The fourth proportional to 6,564, 9,059.40 and 3,768.96 is: 5,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564 : 9,059.40 = 3,768.96 : x
  2. Step 2: Convert to fraction form
    6,564/9,059.40 = 3,768.96/x
  3. Step 3: Cross multiply
    6,564x = 9,059.40 × 3,768.96
  4. Step 4: Simplify right side
    6,564x = 34,144,516.22
  5. Step 5: Solve for x
    x = 34,144,516.22/6,564
  6. Step 6: Final answer
    x = 5,201.78

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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.