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Finding the Fourth Proportional to 2,781, 4,173.53 and 1,049.63

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Solution

The fourth proportional to 2,781, 4,173.53 and 1,049.63 is: 1,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781 : 4,173.53 = 1,049.63 : x
  2. Step 2: Convert to fraction form
    2,781/4,173.53 = 1,049.63/x
  3. Step 3: Cross multiply
    2,781x = 4,173.53 × 1,049.63
  4. Step 4: Simplify right side
    2,781x = 4,380,636.18
  5. Step 5: Solve for x
    x = 4,380,636.18/2,781
  6. Step 6: Final answer
    x = 1,575.20

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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.