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Finding the Fourth Proportional to 10,219.67, 14,102.68 and 5,971.12

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Solution

The fourth proportional to 10,219.67, 14,102.68 and 5,971.12 is: 8,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.67 : 14,102.68 = 5,971.12 : x
  2. Step 2: Convert to fraction form
    10,219.67/14,102.68 = 5,971.12/x
  3. Step 3: Cross multiply
    10,219.67x = 14,102.68 × 5,971.12
  4. Step 4: Simplify right side
    10,219.67x = 84,208,794.60
  5. Step 5: Solve for x
    x = 84,208,794.60/10,219.67
  6. Step 6: Final answer
    x = 8,239.87

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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.