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Finding the Fourth Proportional to 3,655, 5,485.02 and 3,167.56

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Solution

The fourth proportional to 3,655, 5,485.02 and 3,167.56 is: 4,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655 : 5,485.02 = 3,167.56 : x
  2. Step 2: Convert to fraction form
    3,655/5,485.02 = 3,167.56/x
  3. Step 3: Cross multiply
    3,655x = 5,485.02 × 3,167.56
  4. Step 4: Simplify right side
    3,655x = 17,374,129.95
  5. Step 5: Solve for x
    x = 17,374,129.95/3,655
  6. Step 6: Final answer
    x = 4,753.52

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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.