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Finding the Fourth Proportional to 2,184, 3,274.26 and 1,087.76

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Solution

The fourth proportional to 2,184, 3,274.26 and 1,087.76 is: 1,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184 : 3,274.26 = 1,087.76 : x
  2. Step 2: Convert to fraction form
    2,184/3,274.26 = 1,087.76/x
  3. Step 3: Cross multiply
    2,184x = 3,274.26 × 1,087.76
  4. Step 4: Simplify right side
    2,184x = 3,561,592.69
  5. Step 5: Solve for x
    x = 3,561,592.69/2,184
  6. Step 6: Final answer
    x = 1,630.77

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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.