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Finding the Fourth Proportional to 11,424.96, 15,762.60 and 6,947.28

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Solution

The fourth proportional to 11,424.96, 15,762.60 and 6,947.28 is: 9,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.96 : 15,762.60 = 6,947.28 : x
  2. Step 2: Convert to fraction form
    11,424.96/15,762.60 = 6,947.28/x
  3. Step 3: Cross multiply
    11,424.96x = 15,762.60 × 6,947.28
  4. Step 4: Simplify right side
    11,424.96x = 109,507,195.73
  5. Step 5: Solve for x
    x = 109,507,195.73/11,424.96
  6. Step 6: Final answer
    x = 9,584.91

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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.