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Finding the Fourth Proportional to 28,532, 42,589 and 25,165.28

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Solution

The fourth proportional to 28,532, 42,589 and 25,165.28 is: 37,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,532 : 42,589 = 25,165.28 : x
  2. Step 2: Convert to fraction form
    28,532/42,589 = 25,165.28/x
  3. Step 3: Cross multiply
    28,532x = 42,589 × 25,165.28
  4. Step 4: Simplify right side
    28,532x = 1,071,764,109.92
  5. Step 5: Solve for x
    x = 1,071,764,109.92/28,532
  6. Step 6: Final answer
    x = 37,563.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.