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Finding the Fourth Proportional to 17,865.57, 24,652.86 and 9,905.70

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Solution

The fourth proportional to 17,865.57, 24,652.86 and 9,905.70 is: 13,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.57 : 24,652.86 = 9,905.70 : x
  2. Step 2: Convert to fraction form
    17,865.57/24,652.86 = 9,905.70/x
  3. Step 3: Cross multiply
    17,865.57x = 24,652.86 × 9,905.70
  4. Step 4: Simplify right side
    17,865.57x = 244,203,835.30
  5. Step 5: Solve for x
    x = 244,203,835.30/17,865.57
  6. Step 6: Final answer
    x = 13,668.96

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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.