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Finding the Fourth Proportional to 3,547.38, 4,892.90 and 3,074.45

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Solution

The fourth proportional to 3,547.38, 4,892.90 and 3,074.45 is: 4,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.38 : 4,892.90 = 3,074.45 : x
  2. Step 2: Convert to fraction form
    3,547.38/4,892.90 = 3,074.45/x
  3. Step 3: Cross multiply
    3,547.38x = 4,892.90 × 3,074.45
  4. Step 4: Simplify right side
    3,547.38x = 15,042,936.57
  5. Step 5: Solve for x
    x = 15,042,936.57/3,547.38
  6. Step 6: Final answer
    x = 4,240.58

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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.