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Finding the Fourth Proportional to 2,762.70, 3,812.82 and 1,583.98

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Solution

The fourth proportional to 2,762.70, 3,812.82 and 1,583.98 is: 2,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.70 : 3,812.82 = 1,583.98 : x
  2. Step 2: Convert to fraction form
    2,762.70/3,812.82 = 1,583.98/x
  3. Step 3: Cross multiply
    2,762.70x = 3,812.82 × 1,583.98
  4. Step 4: Simplify right side
    2,762.70x = 6,039,430.62
  5. Step 5: Solve for x
    x = 6,039,430.62/2,762.70
  6. Step 6: Final answer
    x = 2,186.06

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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.