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Finding the Fourth Proportional to 2,654.56, 3,651.12 and 2,129.44

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Solution

The fourth proportional to 2,654.56, 3,651.12 and 2,129.44 is: 2,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.56 : 3,651.12 = 2,129.44 : x
  2. Step 2: Convert to fraction form
    2,654.56/3,651.12 = 2,129.44/x
  3. Step 3: Cross multiply
    2,654.56x = 3,651.12 × 2,129.44
  4. Step 4: Simplify right side
    2,654.56x = 7,774,840.97
  5. Step 5: Solve for x
    x = 7,774,840.97/2,654.56
  6. Step 6: Final answer
    x = 2,928.86

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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.