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Finding the Fourth Proportional to 2,762.44, 3,812.15 and 1,583.48

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Solution

The fourth proportional to 2,762.44, 3,812.15 and 1,583.48 is: 2,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.44 : 3,812.15 = 1,583.48 : x
  2. Step 2: Convert to fraction form
    2,762.44/3,812.15 = 1,583.48/x
  3. Step 3: Cross multiply
    2,762.44x = 3,812.15 × 1,583.48
  4. Step 4: Simplify right side
    2,762.44x = 6,036,476.77
  5. Step 5: Solve for x
    x = 6,036,476.77/2,762.44
  6. Step 6: Final answer
    x = 2,185.20

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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.