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Finding the Fourth Proportional to 3,213, 4,817.34 and 1,480.68

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Solution

The fourth proportional to 3,213, 4,817.34 and 1,480.68 is: 2,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 4,817.34 = 1,480.68 : x
  2. Step 2: Convert to fraction form
    3,213/4,817.34 = 1,480.68/x
  3. Step 3: Cross multiply
    3,213x = 4,817.34 × 1,480.68
  4. Step 4: Simplify right side
    3,213x = 7,132,938.99
  5. Step 5: Solve for x
    x = 7,132,938.99/3,213
  6. Step 6: Final answer
    x = 2,220.02

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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.