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Finding the Fourth Proportional to 2,100.40, 3,150.56 and 540.40

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Solution

The fourth proportional to 2,100.40, 3,150.56 and 540.40 is: 810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.40 : 3,150.56 = 540.40 : x
  2. Step 2: Convert to fraction form
    2,100.40/3,150.56 = 540.40/x
  3. Step 3: Cross multiply
    2,100.40x = 3,150.56 × 540.40
  4. Step 4: Simplify right side
    2,100.40x = 1,702,562.62
  5. Step 5: Solve for x
    x = 1,702,562.62/2,100.40
  6. Step 6: Final answer
    x = 810.59

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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.