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Finding the Fourth Proportional to 3,220, 4,830 and 788

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Solution

The fourth proportional to 3,220, 4,830 and 788 is: 1,182

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220 : 4,830 = 788 : x
  2. Step 2: Convert to fraction form
    3,220/4,830 = 788/x
  3. Step 3: Cross multiply
    3,220x = 4,830 × 788
  4. Step 4: Simplify right side
    3,220x = 3,806,040
  5. Step 5: Solve for x
    x = 3,806,040/3,220
  6. Step 6: Final answer
    x = 1,182

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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.