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Finding the Fourth Proportional to 3,420.08, 5,127.08 and 1,228.22

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Solution

The fourth proportional to 3,420.08, 5,127.08 and 1,228.22 is: 1,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.08 : 5,127.08 = 1,228.22 : x
  2. Step 2: Convert to fraction form
    3,420.08/5,127.08 = 1,228.22/x
  3. Step 3: Cross multiply
    3,420.08x = 5,127.08 × 1,228.22
  4. Step 4: Simplify right side
    3,420.08x = 6,297,150.42
  5. Step 5: Solve for x
    x = 6,297,150.42/3,420.08
  6. Step 6: Final answer
    x = 1,841.23

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1.5x scale

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.