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Finding the Fourth Proportional to 17,272, 23,835.36 and 9,820

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Solution

The fourth proportional to 17,272, 23,835.36 and 9,820 is: 13,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,272 : 23,835.36 = 9,820 : x
  2. Step 2: Convert to fraction form
    17,272/23,835.36 = 9,820/x
  3. Step 3: Cross multiply
    17,272x = 23,835.36 × 9,820
  4. Step 4: Simplify right side
    17,272x = 234,063,235.20
  5. Step 5: Solve for x
    x = 234,063,235.20/17,272
  6. Step 6: Final answer
    x = 13,551.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.