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Finding the Fourth Proportional to 3,877.83, 5,816.76 and 1,280.76

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Solution

The fourth proportional to 3,877.83, 5,816.76 and 1,280.76 is: 1,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.83 : 5,816.76 = 1,280.76 : x
  2. Step 2: Convert to fraction form
    3,877.83/5,816.76 = 1,280.76/x
  3. Step 3: Cross multiply
    3,877.83x = 5,816.76 × 1,280.76
  4. Step 4: Simplify right side
    3,877.83x = 7,449,873.54
  5. Step 5: Solve for x
    x = 7,449,873.54/3,877.83
  6. Step 6: Final answer
    x = 1,921.14

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Similar ratio
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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.