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Finding the Fourth Proportional to 1,820.56, 2,730.89 and 1,424.87

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Solution

The fourth proportional to 1,820.56, 2,730.89 and 1,424.87 is: 2,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.56 : 2,730.89 = 1,424.87 : x
  2. Step 2: Convert to fraction form
    1,820.56/2,730.89 = 1,424.87/x
  3. Step 3: Cross multiply
    1,820.56x = 2,730.89 × 1,424.87
  4. Step 4: Simplify right side
    1,820.56x = 3,891,173.62
  5. Step 5: Solve for x
    x = 3,891,173.62/1,820.56
  6. Step 6: Final answer
    x = 2,137.35

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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.