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Finding the Fourth Proportional to 6,137.78, 8,471.23 and 3,619.74

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Solution

The fourth proportional to 6,137.78, 8,471.23 and 3,619.74 is: 4,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.78 : 8,471.23 = 3,619.74 : x
  2. Step 2: Convert to fraction form
    6,137.78/8,471.23 = 3,619.74/x
  3. Step 3: Cross multiply
    6,137.78x = 8,471.23 × 3,619.74
  4. Step 4: Simplify right side
    6,137.78x = 30,663,645.51
  5. Step 5: Solve for x
    x = 30,663,645.51/6,137.78
  6. Step 6: Final answer
    x = 4,995.89

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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.