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Finding the Fourth Proportional to 3,253, 4,879.68 and 944.68

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Solution

The fourth proportional to 3,253, 4,879.68 and 944.68 is: 1,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253 : 4,879.68 = 944.68 : x
  2. Step 2: Convert to fraction form
    3,253/4,879.68 = 944.68/x
  3. Step 3: Cross multiply
    3,253x = 4,879.68 × 944.68
  4. Step 4: Simplify right side
    3,253x = 4,609,736.10
  5. Step 5: Solve for x
    x = 4,609,736.10/3,253
  6. Step 6: Final answer
    x = 1,417.07

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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.