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Finding the Fourth Proportional to 3,716.94, 5,129.16 and 2,038.05

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Solution

The fourth proportional to 3,716.94, 5,129.16 and 2,038.05 is: 2,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.94 : 5,129.16 = 2,038.05 : x
  2. Step 2: Convert to fraction form
    3,716.94/5,129.16 = 2,038.05/x
  3. Step 3: Cross multiply
    3,716.94x = 5,129.16 × 2,038.05
  4. Step 4: Simplify right side
    3,716.94x = 10,453,484.54
  5. Step 5: Solve for x
    x = 10,453,484.54/3,716.94
  6. Step 6: Final answer
    x = 2,812.39

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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.