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Finding the Fourth Proportional to 10,742.57, 14,825.41 and 7,151.33

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Solution

The fourth proportional to 10,742.57, 14,825.41 and 7,151.33 is: 9,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.57 : 14,825.41 = 7,151.33 : x
  2. Step 2: Convert to fraction form
    10,742.57/14,825.41 = 7,151.33/x
  3. Step 3: Cross multiply
    10,742.57x = 14,825.41 × 7,151.33
  4. Step 4: Simplify right side
    10,742.57x = 106,021,399.30
  5. Step 5: Solve for x
    x = 106,021,399.30/10,742.57
  6. Step 6: Final answer
    x = 9,869.28

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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.