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Finding the Fourth Proportional to 3,210.08, 4,811.20 and 1,824

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Solution

The fourth proportional to 3,210.08, 4,811.20 and 1,824 is: 2,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.08 : 4,811.20 = 1,824 : x
  2. Step 2: Convert to fraction form
    3,210.08/4,811.20 = 1,824/x
  3. Step 3: Cross multiply
    3,210.08x = 4,811.20 × 1,824
  4. Step 4: Simplify right side
    3,210.08x = 8,775,628.80
  5. Step 5: Solve for x
    x = 8,775,628.80/3,210.08
  6. Step 6: Final answer
    x = 2,733.77

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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.