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Finding the Fourth Proportional to 2,602.80, 3,591.86 and 1,607.84

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Solution

The fourth proportional to 2,602.80, 3,591.86 and 1,607.84 is: 2,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.80 : 3,591.86 = 1,607.84 : x
  2. Step 2: Convert to fraction form
    2,602.80/3,591.86 = 1,607.84/x
  3. Step 3: Cross multiply
    2,602.80x = 3,591.86 × 1,607.84
  4. Step 4: Simplify right side
    2,602.80x = 5,775,136.18
  5. Step 5: Solve for x
    x = 5,775,136.18/2,602.80
  6. Step 6: Final answer
    x = 2,218.82

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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.