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Finding the Fourth Proportional to 33,430.32, 50,147.20 and 8,470.58

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Solution

The fourth proportional to 33,430.32, 50,147.20 and 8,470.58 is: 12,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,430.32 : 50,147.20 = 8,470.58 : x
  2. Step 2: Convert to fraction form
    33,430.32/50,147.20 = 8,470.58/x
  3. Step 3: Cross multiply
    33,430.32x = 50,147.20 × 8,470.58
  4. Step 4: Simplify right side
    33,430.32x = 424,775,629.23
  5. Step 5: Solve for x
    x = 424,775,629.23/33,430.32
  6. Step 6: Final answer
    x = 12,706.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.