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Finding the Fourth Proportional to 28,909, 43,363.50 and 10,441

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Solution

The fourth proportional to 28,909, 43,363.50 and 10,441 is: 15,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,909 : 43,363.50 = 10,441 : x
  2. Step 2: Convert to fraction form
    28,909/43,363.50 = 10,441/x
  3. Step 3: Cross multiply
    28,909x = 43,363.50 × 10,441
  4. Step 4: Simplify right side
    28,909x = 452,758,303.50
  5. Step 5: Solve for x
    x = 452,758,303.50/28,909
  6. Step 6: Final answer
    x = 15,661.50

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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.