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Finding the Fourth Proportional to 2,101.89, 3,153.01 and 541.88

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Solution

The fourth proportional to 2,101.89, 3,153.01 and 541.88 is: 812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.89 : 3,153.01 = 541.88 : x
  2. Step 2: Convert to fraction form
    2,101.89/3,153.01 = 541.88/x
  3. Step 3: Cross multiply
    2,101.89x = 3,153.01 × 541.88
  4. Step 4: Simplify right side
    2,101.89x = 1,708,548.92
  5. Step 5: Solve for x
    x = 1,708,548.92/2,101.89
  6. Step 6: Final answer
    x = 812.86

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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.