Home / 3,213-4,820.48-2,277.76

Finding the Fourth Proportional to 3,213, 4,820.48 and 2,277.76

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Solution

The fourth proportional to 3,213, 4,820.48 and 2,277.76 is: 3,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 4,820.48 = 2,277.76 : x
  2. Step 2: Convert to fraction form
    3,213/4,820.48 = 2,277.76/x
  3. Step 3: Cross multiply
    3,213x = 4,820.48 × 2,277.76
  4. Step 4: Simplify right side
    3,213x = 10,979,861.03
  5. Step 5: Solve for x
    x = 10,979,861.03/3,213
  6. Step 6: Final answer
    x = 3,417.32

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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.