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Finding the Fourth Proportional to 2,657.56, 3,666.94 and 1,538.54

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Solution

The fourth proportional to 2,657.56, 3,666.94 and 1,538.54 is: 2,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.56 : 3,666.94 = 1,538.54 : x
  2. Step 2: Convert to fraction form
    2,657.56/3,666.94 = 1,538.54/x
  3. Step 3: Cross multiply
    2,657.56x = 3,666.94 × 1,538.54
  4. Step 4: Simplify right side
    2,657.56x = 5,641,733.87
  5. Step 5: Solve for x
    x = 5,641,733.87/2,657.56
  6. Step 6: Final answer
    x = 2,122.90

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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.