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Finding the Fourth Proportional to 3,768.63, 5,653.80 and 1,547.49

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Solution

The fourth proportional to 3,768.63, 5,653.80 and 1,547.49 is: 2,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.63 : 5,653.80 = 1,547.49 : x
  2. Step 2: Convert to fraction form
    3,768.63/5,653.80 = 1,547.49/x
  3. Step 3: Cross multiply
    3,768.63x = 5,653.80 × 1,547.49
  4. Step 4: Simplify right side
    3,768.63x = 8,749,198.96
  5. Step 5: Solve for x
    x = 8,749,198.96/3,768.63
  6. Step 6: Final answer
    x = 2,321.59

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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.