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Finding the Fourth Proportional to 3,298.69, 4,552 and 1,806.31

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Solution

The fourth proportional to 3,298.69, 4,552 and 1,806.31 is: 2,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.69 : 4,552 = 1,806.31 : x
  2. Step 2: Convert to fraction form
    3,298.69/4,552 = 1,806.31/x
  3. Step 3: Cross multiply
    3,298.69x = 4,552 × 1,806.31
  4. Step 4: Simplify right side
    3,298.69x = 8,222,323.12
  5. Step 5: Solve for x
    x = 8,222,323.12/3,298.69
  6. Step 6: Final answer
    x = 2,492.60

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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.