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Finding the Fourth Proportional to 3,978,576.81, 5,968,962.09 and 1,584,102.96

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Solution

The fourth proportional to 3,978,576.81, 5,968,962.09 and 1,584,102.96 is: 2,376,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978,576.81 : 5,968,962.09 = 1,584,102.96 : x
  2. Step 2: Convert to fraction form
    3,978,576.81/5,968,962.09 = 1,584,102.96/x
  3. Step 3: Cross multiply
    3,978,576.81x = 5,968,962.09 × 1,584,102.96
  4. Step 4: Simplify right side
    3,978,576.81x = 9,455,450,514,896.79
  5. Step 5: Solve for x
    x = 9,455,450,514,896.79/3,978,576.81
  6. Step 6: Final answer
    x = 2,376,591.17

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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.