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Finding the Fourth Proportional to 2,786.88, 4,177.08 and 1,053.84

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Solution

The fourth proportional to 2,786.88, 4,177.08 and 1,053.84 is: 1,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.88 : 4,177.08 = 1,053.84 : x
  2. Step 2: Convert to fraction form
    2,786.88/4,177.08 = 1,053.84/x
  3. Step 3: Cross multiply
    2,786.88x = 4,177.08 × 1,053.84
  4. Step 4: Simplify right side
    2,786.88x = 4,401,973.99
  5. Step 5: Solve for x
    x = 4,401,973.99/2,786.88
  6. Step 6: Final answer
    x = 1,579.53

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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.