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Finding the Fourth Proportional to 2,419.68, 3,625.68 and 1,394.40

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Solution

The fourth proportional to 2,419.68, 3,625.68 and 1,394.40 is: 2,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.68 : 3,625.68 = 1,394.40 : x
  2. Step 2: Convert to fraction form
    2,419.68/3,625.68 = 1,394.40/x
  3. Step 3: Cross multiply
    2,419.68x = 3,625.68 × 1,394.40
  4. Step 4: Simplify right side
    2,419.68x = 5,055,648.19
  5. Step 5: Solve for x
    x = 5,055,648.19/2,419.68
  6. Step 6: Final answer
    x = 2,089.39

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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.