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Finding the Fourth Proportional to 9,448.24, 13,039.20 and 6,256

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Solution

The fourth proportional to 9,448.24, 13,039.20 and 6,256 is: 8,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.24 : 13,039.20 = 6,256 : x
  2. Step 2: Convert to fraction form
    9,448.24/13,039.20 = 6,256/x
  3. Step 3: Cross multiply
    9,448.24x = 13,039.20 × 6,256
  4. Step 4: Simplify right side
    9,448.24x = 81,573,235.20
  5. Step 5: Solve for x
    x = 81,573,235.20/9,448.24
  6. Step 6: Final answer
    x = 8,633.70

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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.