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Finding the Fourth Proportional to 20,242.51, 30,342.97 and 7,759.15

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Solution

The fourth proportional to 20,242.51, 30,342.97 and 7,759.15 is: 11,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.51 : 30,342.97 = 7,759.15 : x
  2. Step 2: Convert to fraction form
    20,242.51/30,342.97 = 7,759.15/x
  3. Step 3: Cross multiply
    20,242.51x = 30,342.97 × 7,759.15
  4. Step 4: Simplify right side
    20,242.51x = 235,435,655.68
  5. Step 5: Solve for x
    x = 235,435,655.68/20,242.51
  6. Step 6: Final answer
    x = 11,630.75

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1.5x scale

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.