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Finding the Fourth Proportional to 3,876.81, 5,815.62 and 1,243.65

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Solution

The fourth proportional to 3,876.81, 5,815.62 and 1,243.65 is: 1,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.81 : 5,815.62 = 1,243.65 : x
  2. Step 2: Convert to fraction form
    3,876.81/5,815.62 = 1,243.65/x
  3. Step 3: Cross multiply
    3,876.81x = 5,815.62 × 1,243.65
  4. Step 4: Simplify right side
    3,876.81x = 7,232,595.81
  5. Step 5: Solve for x
    x = 7,232,595.81/3,876.81
  6. Step 6: Final answer
    x = 1,865.60

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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.