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Finding the Fourth Proportional to 9,905.50, 13,670.20 and 5,713.75

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Solution

The fourth proportional to 9,905.50, 13,670.20 and 5,713.75 is: 7,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.50 : 13,670.20 = 5,713.75 : x
  2. Step 2: Convert to fraction form
    9,905.50/13,670.20 = 5,713.75/x
  3. Step 3: Cross multiply
    9,905.50x = 13,670.20 × 5,713.75
  4. Step 4: Simplify right side
    9,905.50x = 78,108,105.25
  5. Step 5: Solve for x
    x = 78,108,105.25/9,905.50
  6. Step 6: Final answer
    x = 7,885.33

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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.