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Finding the Fourth Proportional to 3,215.55, 4,825.17 and 1,734.77

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Solution

The fourth proportional to 3,215.55, 4,825.17 and 1,734.77 is: 2,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.55 : 4,825.17 = 1,734.77 : x
  2. Step 2: Convert to fraction form
    3,215.55/4,825.17 = 1,734.77/x
  3. Step 3: Cross multiply
    3,215.55x = 4,825.17 × 1,734.77
  4. Step 4: Simplify right side
    3,215.55x = 8,370,545.08
  5. Step 5: Solve for x
    x = 8,370,545.08/3,215.55
  6. Step 6: Final answer
    x = 2,603.15

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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.