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Finding the Fourth Proportional to 2,755.98, 3,798.81 and 2,157.39

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Solution

The fourth proportional to 2,755.98, 3,798.81 and 2,157.39 is: 2,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.98 : 3,798.81 = 2,157.39 : x
  2. Step 2: Convert to fraction form
    2,755.98/3,798.81 = 2,157.39/x
  3. Step 3: Cross multiply
    2,755.98x = 3,798.81 × 2,157.39
  4. Step 4: Simplify right side
    2,755.98x = 8,195,514.71
  5. Step 5: Solve for x
    x = 8,195,514.71/2,755.98
  6. Step 6: Final answer
    x = 2,973.72

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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.