Home / 3,217-4,825.50-1,165.48

Finding the Fourth Proportional to 3,217, 4,825.50 and 1,165.48

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Solution

The fourth proportional to 3,217, 4,825.50 and 1,165.48 is: 1,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217 : 4,825.50 = 1,165.48 : x
  2. Step 2: Convert to fraction form
    3,217/4,825.50 = 1,165.48/x
  3. Step 3: Cross multiply
    3,217x = 4,825.50 × 1,165.48
  4. Step 4: Simplify right side
    3,217x = 5,624,023.74
  5. Step 5: Solve for x
    x = 5,624,023.74/3,217
  6. Step 6: Final answer
    x = 1,748.22

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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.