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Finding the Fourth Proportional to 3,745.84, 5,165.76 and 2,961.76

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Solution

The fourth proportional to 3,745.84, 5,165.76 and 2,961.76 is: 4,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.84 : 5,165.76 = 2,961.76 : x
  2. Step 2: Convert to fraction form
    3,745.84/5,165.76 = 2,961.76/x
  3. Step 3: Cross multiply
    3,745.84x = 5,165.76 × 2,961.76
  4. Step 4: Simplify right side
    3,745.84x = 15,299,741.34
  5. Step 5: Solve for x
    x = 15,299,741.34/3,745.84
  6. Step 6: Final answer
    x = 4,084.46

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1.5x scale

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.