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Finding the Fourth Proportional to 3,419.64, 5,128.01 and 1,339.32

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Solution

The fourth proportional to 3,419.64, 5,128.01 and 1,339.32 is: 2,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.64 : 5,128.01 = 1,339.32 : x
  2. Step 2: Convert to fraction form
    3,419.64/5,128.01 = 1,339.32/x
  3. Step 3: Cross multiply
    3,419.64x = 5,128.01 × 1,339.32
  4. Step 4: Simplify right side
    3,419.64x = 6,868,040.09
  5. Step 5: Solve for x
    x = 6,868,040.09/3,419.64
  6. Step 6: Final answer
    x = 2,008.41

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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.