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Finding the Fourth Proportional to 3,814.64, 5,721.28 and 1,040.95

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Solution

The fourth proportional to 3,814.64, 5,721.28 and 1,040.95 is: 1,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.64 : 5,721.28 = 1,040.95 : x
  2. Step 2: Convert to fraction form
    3,814.64/5,721.28 = 1,040.95/x
  3. Step 3: Cross multiply
    3,814.64x = 5,721.28 × 1,040.95
  4. Step 4: Simplify right side
    3,814.64x = 5,955,576.82
  5. Step 5: Solve for x
    x = 5,955,576.82/3,814.64
  6. Step 6: Final answer
    x = 1,561.24

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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.