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Finding the Fourth Proportional to 10,238.25, 14,128.79 and 6,046.50

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Solution

The fourth proportional to 10,238.25, 14,128.79 and 6,046.50 is: 8,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.25 : 14,128.79 = 6,046.50 : x
  2. Step 2: Convert to fraction form
    10,238.25/14,128.79 = 6,046.50/x
  3. Step 3: Cross multiply
    10,238.25x = 14,128.79 × 6,046.50
  4. Step 4: Simplify right side
    10,238.25x = 85,429,698.50
  5. Step 5: Solve for x
    x = 85,429,698.50/10,238.25
  6. Step 6: Final answer
    x = 8,344.17

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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.