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Finding the Fourth Proportional to 1,998.50, 2,762.30 and 1,760.63

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Solution

The fourth proportional to 1,998.50, 2,762.30 and 1,760.63 is: 2,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.50 : 2,762.30 = 1,760.63 : x
  2. Step 2: Convert to fraction form
    1,998.50/2,762.30 = 1,760.63/x
  3. Step 3: Cross multiply
    1,998.50x = 2,762.30 × 1,760.63
  4. Step 4: Simplify right side
    1,998.50x = 4,863,378.84
  5. Step 5: Solve for x
    x = 4,863,378.84/1,998.50
  6. Step 6: Final answer
    x = 2,433.52

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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.