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Finding the Fourth Proportional to 3,547.94, 5,322.49 and 1,208.09

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Solution

The fourth proportional to 3,547.94, 5,322.49 and 1,208.09 is: 1,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.94 : 5,322.49 = 1,208.09 : x
  2. Step 2: Convert to fraction form
    3,547.94/5,322.49 = 1,208.09/x
  3. Step 3: Cross multiply
    3,547.94x = 5,322.49 × 1,208.09
  4. Step 4: Simplify right side
    3,547.94x = 6,430,057.23
  5. Step 5: Solve for x
    x = 6,430,057.23/3,547.94
  6. Step 6: Final answer
    x = 1,812.34

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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.