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Finding the Fourth Proportional to 3,129, 4,314.48 and 2,010.12

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Solution

The fourth proportional to 3,129, 4,314.48 and 2,010.12 is: 2,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129 : 4,314.48 = 2,010.12 : x
  2. Step 2: Convert to fraction form
    3,129/4,314.48 = 2,010.12/x
  3. Step 3: Cross multiply
    3,129x = 4,314.48 × 2,010.12
  4. Step 4: Simplify right side
    3,129x = 8,672,622.54
  5. Step 5: Solve for x
    x = 8,672,622.54/3,129
  6. Step 6: Final answer
    x = 2,771.69

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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.