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Finding the Fourth Proportional to 28,251, 42,376.50 and 9,783

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Solution

The fourth proportional to 28,251, 42,376.50 and 9,783 is: 14,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,251 : 42,376.50 = 9,783 : x
  2. Step 2: Convert to fraction form
    28,251/42,376.50 = 9,783/x
  3. Step 3: Cross multiply
    28,251x = 42,376.50 × 9,783
  4. Step 4: Simplify right side
    28,251x = 414,569,299.50
  5. Step 5: Solve for x
    x = 414,569,299.50/28,251
  6. Step 6: Final answer
    x = 14,674.50

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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.