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Finding the Fourth Proportional to 3,420.63, 5,129.73 and 1,199.22

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Solution

The fourth proportional to 3,420.63, 5,129.73 and 1,199.22 is: 1,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.63 : 5,129.73 = 1,199.22 : x
  2. Step 2: Convert to fraction form
    3,420.63/5,129.73 = 1,199.22/x
  3. Step 3: Cross multiply
    3,420.63x = 5,129.73 × 1,199.22
  4. Step 4: Simplify right side
    3,420.63x = 6,151,674.81
  5. Step 5: Solve for x
    x = 6,151,674.81/3,420.63
  6. Step 6: Final answer
    x = 1,798.40

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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.