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Finding the Fourth Proportional to 10,106.96, 13,942.76 and 6,571.28

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Solution

The fourth proportional to 10,106.96, 13,942.76 and 6,571.28 is: 9,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.96 : 13,942.76 = 6,571.28 : x
  2. Step 2: Convert to fraction form
    10,106.96/13,942.76 = 6,571.28/x
  3. Step 3: Cross multiply
    10,106.96x = 13,942.76 × 6,571.28
  4. Step 4: Simplify right side
    10,106.96x = 91,621,779.93
  5. Step 5: Solve for x
    x = 91,621,779.93/10,106.96
  6. Step 6: Final answer
    x = 9,065.22

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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.