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Finding the Fourth Proportional to 1,742.21, 2,612.54 and 818.03

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Solution

The fourth proportional to 1,742.21, 2,612.54 and 818.03 is: 1,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.21 : 2,612.54 = 818.03 : x
  2. Step 2: Convert to fraction form
    1,742.21/2,612.54 = 818.03/x
  3. Step 3: Cross multiply
    1,742.21x = 2,612.54 × 818.03
  4. Step 4: Simplify right side
    1,742.21x = 2,137,125.08
  5. Step 5: Solve for x
    x = 2,137,125.08/1,742.21
  6. Step 6: Final answer
    x = 1,226.68

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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.