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Finding the Fourth Proportional to 3,876.65, 5,810.75 and 1,903.64

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Solution

The fourth proportional to 3,876.65, 5,810.75 and 1,903.64 is: 2,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.65 : 5,810.75 = 1,903.64 : x
  2. Step 2: Convert to fraction form
    3,876.65/5,810.75 = 1,903.64/x
  3. Step 3: Cross multiply
    3,876.65x = 5,810.75 × 1,903.64
  4. Step 4: Simplify right side
    3,876.65x = 11,061,544.70
  5. Step 5: Solve for x
    x = 11,061,544.70/3,876.65
  6. Step 6: Final answer
    x = 2,853.38

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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.