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Finding the Fourth Proportional to 28,180.56, 42,273.24 and 7,404

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Solution

The fourth proportional to 28,180.56, 42,273.24 and 7,404 is: 11,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,180.56 : 42,273.24 = 7,404 : x
  2. Step 2: Convert to fraction form
    28,180.56/42,273.24 = 7,404/x
  3. Step 3: Cross multiply
    28,180.56x = 42,273.24 × 7,404
  4. Step 4: Simplify right side
    28,180.56x = 312,991,068.96
  5. Step 5: Solve for x
    x = 312,991,068.96/28,180.56
  6. Step 6: Final answer
    x = 11,106.63

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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.