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Finding the Fourth Proportional to 3,876.80, 5,814.80 and 1,280.16

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Solution

The fourth proportional to 3,876.80, 5,814.80 and 1,280.16 is: 1,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.80 : 5,814.80 = 1,280.16 : x
  2. Step 2: Convert to fraction form
    3,876.80/5,814.80 = 1,280.16/x
  3. Step 3: Cross multiply
    3,876.80x = 5,814.80 × 1,280.16
  4. Step 4: Simplify right side
    3,876.80x = 7,443,874.37
  5. Step 5: Solve for x
    x = 7,443,874.37/3,876.80
  6. Step 6: Final answer
    x = 1,920.11

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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.