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Finding the Fourth Proportional to 28,299, 42,468 and 9,831

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Solution

The fourth proportional to 28,299, 42,468 and 9,831 is: 14,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,299 : 42,468 = 9,831 : x
  2. Step 2: Convert to fraction form
    28,299/42,468 = 9,831/x
  3. Step 3: Cross multiply
    28,299x = 42,468 × 9,831
  4. Step 4: Simplify right side
    28,299x = 417,502,908
  5. Step 5: Solve for x
    x = 417,502,908/28,299
  6. Step 6: Final answer
    x = 14,753.27

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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.