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Finding the Fourth Proportional to 28,531.04, 42,796.49 and 7,754.54

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Solution

The fourth proportional to 28,531.04, 42,796.49 and 7,754.54 is: 11,631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,531.04 : 42,796.49 = 7,754.54 : x
  2. Step 2: Convert to fraction form
    28,531.04/42,796.49 = 7,754.54/x
  3. Step 3: Cross multiply
    28,531.04x = 42,796.49 × 7,754.54
  4. Step 4: Simplify right side
    28,531.04x = 331,866,840.81
  5. Step 5: Solve for x
    x = 331,866,840.81/28,531.04
  6. Step 6: Final answer
    x = 11,631.78

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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.