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Finding the Fourth Proportional to 17,853.12, 24,638.78 and 9,897.84

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Solution

The fourth proportional to 17,853.12, 24,638.78 and 9,897.84 is: 13,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.12 : 24,638.78 = 9,897.84 : x
  2. Step 2: Convert to fraction form
    17,853.12/24,638.78 = 9,897.84/x
  3. Step 3: Cross multiply
    17,853.12x = 24,638.78 × 9,897.84
  4. Step 4: Simplify right side
    17,853.12x = 243,870,702.24
  5. Step 5: Solve for x
    x = 243,870,702.24/17,853.12
  6. Step 6: Final answer
    x = 13,659.84

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