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Finding the Fourth Proportional to 3,876.84, 5,813.37 and 1,377.18

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Solution

The fourth proportional to 3,876.84, 5,813.37 and 1,377.18 is: 2,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.84 : 5,813.37 = 1,377.18 : x
  2. Step 2: Convert to fraction form
    3,876.84/5,813.37 = 1,377.18/x
  3. Step 3: Cross multiply
    3,876.84x = 5,813.37 × 1,377.18
  4. Step 4: Simplify right side
    3,876.84x = 8,006,056.90
  5. Step 5: Solve for x
    x = 8,006,056.90/3,876.84
  6. Step 6: Final answer
    x = 2,065.10

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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.