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Finding the Fourth Proportional to 28,159, 42,236.86 and 7,382.48

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Solution

The fourth proportional to 28,159, 42,236.86 and 7,382.48 is: 11,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,159 : 42,236.86 = 7,382.48 : x
  2. Step 2: Convert to fraction form
    28,159/42,236.86 = 7,382.48/x
  3. Step 3: Cross multiply
    28,159x = 42,236.86 × 7,382.48
  4. Step 4: Simplify right side
    28,159x = 311,812,774.21
  5. Step 5: Solve for x
    x = 311,812,774.21/28,159
  6. Step 6: Final answer
    x = 11,073.29

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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.