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Finding the Fourth Proportional to 20,323.34, 30,476.88 and 7,836.44

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Solution

The fourth proportional to 20,323.34, 30,476.88 and 7,836.44 is: 11,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,323.34 : 30,476.88 = 7,836.44 : x
  2. Step 2: Convert to fraction form
    20,323.34/30,476.88 = 7,836.44/x
  3. Step 3: Cross multiply
    20,323.34x = 30,476.88 × 7,836.44
  4. Step 4: Simplify right side
    20,323.34x = 238,830,241.51
  5. Step 5: Solve for x
    x = 238,830,241.51/20,323.34
  6. Step 6: Final answer
    x = 11,751.53

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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.