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Finding the Fourth Proportional to 2,101.38, 3,152.26 and 541.39

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Solution

The fourth proportional to 2,101.38, 3,152.26 and 541.39 is: 812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.38 : 3,152.26 = 541.39 : x
  2. Step 2: Convert to fraction form
    2,101.38/3,152.26 = 541.39/x
  3. Step 3: Cross multiply
    2,101.38x = 3,152.26 × 541.39
  4. Step 4: Simplify right side
    2,101.38x = 1,706,592.61
  5. Step 5: Solve for x
    x = 1,706,592.61/2,101.38
  6. Step 6: Final answer
    x = 812.13

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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.