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Finding the Fourth Proportional to 28,039.50, 42,059.25 and 7,263

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Solution

The fourth proportional to 28,039.50, 42,059.25 and 7,263 is: 10,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,039.50 : 42,059.25 = 7,263 : x
  2. Step 2: Convert to fraction form
    28,039.50/42,059.25 = 7,263/x
  3. Step 3: Cross multiply
    28,039.50x = 42,059.25 × 7,263
  4. Step 4: Simplify right side
    28,039.50x = 305,476,332.75
  5. Step 5: Solve for x
    x = 305,476,332.75/28,039.50
  6. Step 6: Final answer
    x = 10,894.50

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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.