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Finding the Fourth Proportional to 3,576, 5,364.36 and 1,267.56

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Solution

The fourth proportional to 3,576, 5,364.36 and 1,267.56 is: 1,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576 : 5,364.36 = 1,267.56 : x
  2. Step 2: Convert to fraction form
    3,576/5,364.36 = 1,267.56/x
  3. Step 3: Cross multiply
    3,576x = 5,364.36 × 1,267.56
  4. Step 4: Simplify right side
    3,576x = 6,799,648.16
  5. Step 5: Solve for x
    x = 6,799,648.16/3,576
  6. Step 6: Final answer
    x = 1,901.47

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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.