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Finding the Fourth Proportional to 3,881.09, 5,821.59 and 1,541.00

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Solution

The fourth proportional to 3,881.09, 5,821.59 and 1,541.00 is: 2,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.09 : 5,821.59 = 1,541.00 : x
  2. Step 2: Convert to fraction form
    3,881.09/5,821.59 = 1,541.00/x
  3. Step 3: Cross multiply
    3,881.09x = 5,821.59 × 1,541.00
  4. Step 4: Simplify right side
    3,881.09x = 8,971,041.08
  5. Step 5: Solve for x
    x = 8,971,041.08/3,881.09
  6. Step 6: Final answer
    x = 2,311.48

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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.