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Finding the Fourth Proportional to 28,741.41, 43,113.93 and 9,020.75

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Solution

The fourth proportional to 28,741.41, 43,113.93 and 9,020.75 is: 13,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,741.41 : 43,113.93 = 9,020.75 : x
  2. Step 2: Convert to fraction form
    28,741.41/43,113.93 = 9,020.75/x
  3. Step 3: Cross multiply
    28,741.41x = 43,113.93 × 9,020.75
  4. Step 4: Simplify right side
    28,741.41x = 388,919,768.48
  5. Step 5: Solve for x
    x = 388,919,768.48/28,741.41
  6. Step 6: Final answer
    x = 13,531.69

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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.