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Finding the Fourth Proportional to 1,762.88, 2,643.78 and 1,218.56

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Solution

The fourth proportional to 1,762.88, 2,643.78 and 1,218.56 is: 1,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.88 : 2,643.78 = 1,218.56 : x
  2. Step 2: Convert to fraction form
    1,762.88/2,643.78 = 1,218.56/x
  3. Step 3: Cross multiply
    1,762.88x = 2,643.78 × 1,218.56
  4. Step 4: Simplify right side
    1,762.88x = 3,221,604.56
  5. Step 5: Solve for x
    x = 3,221,604.56/1,762.88
  6. Step 6: Final answer
    x = 1,827.47

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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.