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Finding the Fourth Proportional to 2,650.62, 3,657.86 and 1,602.68

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Solution

The fourth proportional to 2,650.62, 3,657.86 and 1,602.68 is: 2,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.62 : 3,657.86 = 1,602.68 : x
  2. Step 2: Convert to fraction form
    2,650.62/3,657.86 = 1,602.68/x
  3. Step 3: Cross multiply
    2,650.62x = 3,657.86 × 1,602.68
  4. Step 4: Simplify right side
    2,650.62x = 5,862,379.06
  5. Step 5: Solve for x
    x = 5,862,379.06/2,650.62
  6. Step 6: Final answer
    x = 2,211.70

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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.