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Finding the Fourth Proportional to 17,855.76, 24,640.64 and 9,897.96

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Solution

The fourth proportional to 17,855.76, 24,640.64 and 9,897.96 is: 13,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.76 : 24,640.64 = 9,897.96 : x
  2. Step 2: Convert to fraction form
    17,855.76/24,640.64 = 9,897.96/x
  3. Step 3: Cross multiply
    17,855.76x = 24,640.64 × 9,897.96
  4. Step 4: Simplify right side
    17,855.76x = 243,892,069.09
  5. Step 5: Solve for x
    x = 243,892,069.09/17,855.76
  6. Step 6: Final answer
    x = 13,659.01

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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.