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Finding the Fourth Proportional to 2,762.84, 4,145.03 and 1,120.55

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Solution

The fourth proportional to 2,762.84, 4,145.03 and 1,120.55 is: 1,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.84 : 4,145.03 = 1,120.55 : x
  2. Step 2: Convert to fraction form
    2,762.84/4,145.03 = 1,120.55/x
  3. Step 3: Cross multiply
    2,762.84x = 4,145.03 × 1,120.55
  4. Step 4: Simplify right side
    2,762.84x = 4,644,687.04
  5. Step 5: Solve for x
    x = 4,644,687.04/2,762.84
  6. Step 6: Final answer
    x = 1,681.13

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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.