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Finding the Fourth Proportional to 3,810.64, 5,259.00 and 2,132.21

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Solution

The fourth proportional to 3,810.64, 5,259.00 and 2,132.21 is: 2,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.64 : 5,259.00 = 2,132.21 : x
  2. Step 2: Convert to fraction form
    3,810.64/5,259.00 = 2,132.21/x
  3. Step 3: Cross multiply
    3,810.64x = 5,259.00 × 2,132.21
  4. Step 4: Simplify right side
    3,810.64x = 11,213,274.09
  5. Step 5: Solve for x
    x = 11,213,274.09/3,810.64
  6. Step 6: Final answer
    x = 2,942.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.