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Finding the Fourth Proportional to 28,295, 42,462 and 9,827

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Solution

The fourth proportional to 28,295, 42,462 and 9,827 is: 14,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,295 : 42,462 = 9,827 : x
  2. Step 2: Convert to fraction form
    28,295/42,462 = 9,827/x
  3. Step 3: Cross multiply
    28,295x = 42,462 × 9,827
  4. Step 4: Simplify right side
    28,295x = 417,274,074
  5. Step 5: Solve for x
    x = 417,274,074/28,295
  6. Step 6: Final answer
    x = 14,747.27

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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.