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Finding the Fourth Proportional to 2,352.74, 3,522.20 and 1,739.19

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Solution

The fourth proportional to 2,352.74, 3,522.20 and 1,739.19 is: 2,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.74 : 3,522.20 = 1,739.19 : x
  2. Step 2: Convert to fraction form
    2,352.74/3,522.20 = 1,739.19/x
  3. Step 3: Cross multiply
    2,352.74x = 3,522.20 × 1,739.19
  4. Step 4: Simplify right side
    2,352.74x = 6,125,766.32
  5. Step 5: Solve for x
    x = 6,125,766.32/2,352.74
  6. Step 6: Final answer
    x = 2,603.68

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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.