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Finding the Fourth Proportional to 28,296, 42,463.50 and 9,828

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Solution

The fourth proportional to 28,296, 42,463.50 and 9,828 is: 14,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,296 : 42,463.50 = 9,828 : x
  2. Step 2: Convert to fraction form
    28,296/42,463.50 = 9,828/x
  3. Step 3: Cross multiply
    28,296x = 42,463.50 × 9,828
  4. Step 4: Simplify right side
    28,296x = 417,331,278
  5. Step 5: Solve for x
    x = 417,331,278/28,296
  6. Step 6: Final answer
    x = 14,748.77

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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.