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Finding the Fourth Proportional to 3,876.76, 5,816.56 and 1,411.73

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Solution

The fourth proportional to 3,876.76, 5,816.56 and 1,411.73 is: 2,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.76 : 5,816.56 = 1,411.73 : x
  2. Step 2: Convert to fraction form
    3,876.76/5,816.56 = 1,411.73/x
  3. Step 3: Cross multiply
    3,876.76x = 5,816.56 × 1,411.73
  4. Step 4: Simplify right side
    3,876.76x = 8,211,412.25
  5. Step 5: Solve for x
    x = 8,211,412.25/3,876.76
  6. Step 6: Final answer
    x = 2,118.11

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1.5x scale

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.