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Finding the Fourth Proportional to 3,912, 5,853.36 and 2,444.28

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Solution

The fourth proportional to 3,912, 5,853.36 and 2,444.28 is: 3,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912 : 5,853.36 = 2,444.28 : x
  2. Step 2: Convert to fraction form
    3,912/5,853.36 = 2,444.28/x
  3. Step 3: Cross multiply
    3,912x = 5,853.36 × 2,444.28
  4. Step 4: Simplify right side
    3,912x = 14,307,250.78
  5. Step 5: Solve for x
    x = 14,307,250.78/3,912
  6. Step 6: Final answer
    x = 3,657.27

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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.