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Finding the Fourth Proportional to 3,253, 4,489.14 and 1,855.78

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Solution

The fourth proportional to 3,253, 4,489.14 and 1,855.78 is: 2,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253 : 4,489.14 = 1,855.78 : x
  2. Step 2: Convert to fraction form
    3,253/4,489.14 = 1,855.78/x
  3. Step 3: Cross multiply
    3,253x = 4,489.14 × 1,855.78
  4. Step 4: Simplify right side
    3,253x = 8,330,856.23
  5. Step 5: Solve for x
    x = 8,330,856.23/3,253
  6. Step 6: Final answer
    x = 2,560.98

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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.