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Finding the Fourth Proportional to 10,786.67, 14,885.67 and 6,309.56

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Solution

The fourth proportional to 10,786.67, 14,885.67 and 6,309.56 is: 8,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.67 : 14,885.67 = 6,309.56 : x
  2. Step 2: Convert to fraction form
    10,786.67/14,885.67 = 6,309.56/x
  3. Step 3: Cross multiply
    10,786.67x = 14,885.67 × 6,309.56
  4. Step 4: Simplify right side
    10,786.67x = 93,921,953.58
  5. Step 5: Solve for x
    x = 93,921,953.58/10,786.67
  6. Step 6: Final answer
    x = 8,707.22

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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.