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Finding the Fourth Proportional to 3,705.75, 5,114.07 and 2,134.08

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Solution

The fourth proportional to 3,705.75, 5,114.07 and 2,134.08 is: 2,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.75 : 5,114.07 = 2,134.08 : x
  2. Step 2: Convert to fraction form
    3,705.75/5,114.07 = 2,134.08/x
  3. Step 3: Cross multiply
    3,705.75x = 5,114.07 × 2,134.08
  4. Step 4: Simplify right side
    3,705.75x = 10,913,834.51
  5. Step 5: Solve for x
    x = 10,913,834.51/3,705.75
  6. Step 6: Final answer
    x = 2,945.11

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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.