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Finding the Fourth Proportional to 28,321, 42,501 and 9,853

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Solution

The fourth proportional to 28,321, 42,501 and 9,853 is: 14,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,321 : 42,501 = 9,853 : x
  2. Step 2: Convert to fraction form
    28,321/42,501 = 9,853/x
  3. Step 3: Cross multiply
    28,321x = 42,501 × 9,853
  4. Step 4: Simplify right side
    28,321x = 418,762,353
  5. Step 5: Solve for x
    x = 418,762,353/28,321
  6. Step 6: Final answer
    x = 14,786.28

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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.