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Finding the Fourth Proportional to 3,602.79, 5,394.45 and 1,867.77

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Solution

The fourth proportional to 3,602.79, 5,394.45 and 1,867.77 is: 2,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.79 : 5,394.45 = 1,867.77 : x
  2. Step 2: Convert to fraction form
    3,602.79/5,394.45 = 1,867.77/x
  3. Step 3: Cross multiply
    3,602.79x = 5,394.45 × 1,867.77
  4. Step 4: Simplify right side
    3,602.79x = 10,075,591.88
  5. Step 5: Solve for x
    x = 10,075,591.88/3,602.79
  6. Step 6: Final answer
    x = 2,796.61

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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.