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Finding the Fourth Proportional to 2,659.56, 3,669.70 and 1,540.54

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Solution

The fourth proportional to 2,659.56, 3,669.70 and 1,540.54 is: 2,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.56 : 3,669.70 = 1,540.54 : x
  2. Step 2: Convert to fraction form
    2,659.56/3,669.70 = 1,540.54/x
  3. Step 3: Cross multiply
    2,659.56x = 3,669.70 × 1,540.54
  4. Step 4: Simplify right side
    2,659.56x = 5,653,319.64
  5. Step 5: Solve for x
    x = 5,653,319.64/2,659.56
  6. Step 6: Final answer
    x = 2,125.66

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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.