Home / 3,222-4,829.76-1,662.66

Finding the Fourth Proportional to 3,222, 4,829.76 and 1,662.66

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Solution

The fourth proportional to 3,222, 4,829.76 and 1,662.66 is: 2,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222 : 4,829.76 = 1,662.66 : x
  2. Step 2: Convert to fraction form
    3,222/4,829.76 = 1,662.66/x
  3. Step 3: Cross multiply
    3,222x = 4,829.76 × 1,662.66
  4. Step 4: Simplify right side
    3,222x = 8,030,248.76
  5. Step 5: Solve for x
    x = 8,030,248.76/3,222
  6. Step 6: Final answer
    x = 2,492.32

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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.