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Finding the Fourth Proportional to 28,540.50, 42,810.89 and 10,072.50

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Solution

The fourth proportional to 28,540.50, 42,810.89 and 10,072.50 is: 15,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,540.50 : 42,810.89 = 10,072.50 : x
  2. Step 2: Convert to fraction form
    28,540.50/42,810.89 = 10,072.50/x
  3. Step 3: Cross multiply
    28,540.50x = 42,810.89 × 10,072.50
  4. Step 4: Simplify right side
    28,540.50x = 431,212,639.16
  5. Step 5: Solve for x
    x = 431,212,639.16/28,540.50
  6. Step 6: Final answer
    x = 15,108.80

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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.