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Finding the Fourth Proportional to 1,604.36, 2,400.32 and 1,419.68

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Solution

The fourth proportional to 1,604.36, 2,400.32 and 1,419.68 is: 2,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.36 : 2,400.32 = 1,419.68 : x
  2. Step 2: Convert to fraction form
    1,604.36/2,400.32 = 1,419.68/x
  3. Step 3: Cross multiply
    1,604.36x = 2,400.32 × 1,419.68
  4. Step 4: Simplify right side
    1,604.36x = 3,407,686.30
  5. Step 5: Solve for x
    x = 3,407,686.30/1,604.36
  6. Step 6: Final answer
    x = 2,124.02

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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.