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Finding the Fourth Proportional to 3,419.91, 5,130.09 and 1,080.02

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Solution

The fourth proportional to 3,419.91, 5,130.09 and 1,080.02 is: 1,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.91 : 5,130.09 = 1,080.02 : x
  2. Step 2: Convert to fraction form
    3,419.91/5,130.09 = 1,080.02/x
  3. Step 3: Cross multiply
    3,419.91x = 5,130.09 × 1,080.02
  4. Step 4: Simplify right side
    3,419.91x = 5,540,574.15
  5. Step 5: Solve for x
    x = 5,540,574.15/3,419.91
  6. Step 6: Final answer
    x = 1,620.10

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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.