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Finding the Fourth Proportional to 5,147.63, 7,103.74 and 2,789.78

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Solution

The fourth proportional to 5,147.63, 7,103.74 and 2,789.78 is: 3,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.63 : 7,103.74 = 2,789.78 : x
  2. Step 2: Convert to fraction form
    5,147.63/7,103.74 = 2,789.78/x
  3. Step 3: Cross multiply
    5,147.63x = 7,103.74 × 2,789.78
  4. Step 4: Simplify right side
    5,147.63x = 19,817,829.28
  5. Step 5: Solve for x
    x = 19,817,829.28/5,147.63
  6. Step 6: Final answer
    x = 3,849.90

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1.5x scale

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.