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Finding the Fourth Proportional to 28,770, 43,165.38 and 10,052.80

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Solution

The fourth proportional to 28,770, 43,165.38 and 10,052.80 is: 15,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,770 : 43,165.38 = 10,052.80 : x
  2. Step 2: Convert to fraction form
    28,770/43,165.38 = 10,052.80/x
  3. Step 3: Cross multiply
    28,770x = 43,165.38 × 10,052.80
  4. Step 4: Simplify right side
    28,770x = 433,932,932.06
  5. Step 5: Solve for x
    x = 433,932,932.06/28,770
  6. Step 6: Final answer
    x = 15,082.83

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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.