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Finding the Fourth Proportional to 3,705.78, 5,114.82 and 2,134.80

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Solution

The fourth proportional to 3,705.78, 5,114.82 and 2,134.80 is: 2,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.78 : 5,114.82 = 2,134.80 : x
  2. Step 2: Convert to fraction form
    3,705.78/5,114.82 = 2,134.80/x
  3. Step 3: Cross multiply
    3,705.78x = 5,114.82 × 2,134.80
  4. Step 4: Simplify right side
    3,705.78x = 10,919,117.74
  5. Step 5: Solve for x
    x = 10,919,117.74/3,705.78
  6. Step 6: Final answer
    x = 2,946.51

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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.