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Finding the Fourth Proportional to 3,518, 4,851.60 and 3,204.08

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Solution

The fourth proportional to 3,518, 4,851.60 and 3,204.08 is: 4,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518 : 4,851.60 = 3,204.08 : x
  2. Step 2: Convert to fraction form
    3,518/4,851.60 = 3,204.08/x
  3. Step 3: Cross multiply
    3,518x = 4,851.60 × 3,204.08
  4. Step 4: Simplify right side
    3,518x = 15,544,914.53
  5. Step 5: Solve for x
    x = 15,544,914.53/3,518
  6. Step 6: Final answer
    x = 4,418.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.