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Finding the Fourth Proportional to 2,101.13, 3,151.47 and 541.08

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Solution

The fourth proportional to 2,101.13, 3,151.47 and 541.08 is: 811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.13 : 3,151.47 = 541.08 : x
  2. Step 2: Convert to fraction form
    2,101.13/3,151.47 = 541.08/x
  3. Step 3: Cross multiply
    2,101.13x = 3,151.47 × 541.08
  4. Step 4: Simplify right side
    2,101.13x = 1,705,197.39
  5. Step 5: Solve for x
    x = 1,705,197.39/2,101.13
  6. Step 6: Final answer
    x = 811.56

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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.