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Finding the Fourth Proportional to 2,101.47, 3,152.16 and 541.49

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Solution

The fourth proportional to 2,101.47, 3,152.16 and 541.49 is: 812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.47 : 3,152.16 = 541.49 : x
  2. Step 2: Convert to fraction form
    2,101.47/3,152.16 = 541.49/x
  3. Step 3: Cross multiply
    2,101.47x = 3,152.16 × 541.49
  4. Step 4: Simplify right side
    2,101.47x = 1,706,847.36
  5. Step 5: Solve for x
    x = 1,706,847.36/2,101.47
  6. Step 6: Final answer
    x = 812.22

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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.