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Finding the Fourth Proportional to 28,493.87, 42,739.19 and 7,715.75

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Solution

The fourth proportional to 28,493.87, 42,739.19 and 7,715.75 is: 11,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,493.87 : 42,739.19 = 7,715.75 : x
  2. Step 2: Convert to fraction form
    28,493.87/42,739.19 = 7,715.75/x
  3. Step 3: Cross multiply
    28,493.87x = 42,739.19 × 7,715.75
  4. Step 4: Simplify right side
    28,493.87x = 329,764,866.66
  5. Step 5: Solve for x
    x = 329,764,866.66/28,493.87
  6. Step 6: Final answer
    x = 11,573.19

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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.