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Finding the Fourth Proportional to 2,656.26, 3,978.90 and 1,677.56

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Solution

The fourth proportional to 2,656.26, 3,978.90 and 1,677.56 is: 2,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.26 : 3,978.90 = 1,677.56 : x
  2. Step 2: Convert to fraction form
    2,656.26/3,978.90 = 1,677.56/x
  3. Step 3: Cross multiply
    2,656.26x = 3,978.90 × 1,677.56
  4. Step 4: Simplify right side
    2,656.26x = 6,674,823.59
  5. Step 5: Solve for x
    x = 6,674,823.59/2,656.26
  6. Step 6: Final answer
    x = 2,512.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.