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Finding the Fourth Proportional to 10,249.48, 14,140.20 and 6,471.64

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Solution

The fourth proportional to 10,249.48, 14,140.20 and 6,471.64 is: 8,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.48 : 14,140.20 = 6,471.64 : x
  2. Step 2: Convert to fraction form
    10,249.48/14,140.20 = 6,471.64/x
  3. Step 3: Cross multiply
    10,249.48x = 14,140.20 × 6,471.64
  4. Step 4: Simplify right side
    10,249.48x = 91,510,283.93
  5. Step 5: Solve for x
    x = 91,510,283.93/10,249.48
  6. Step 6: Final answer
    x = 8,928.29

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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.