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Finding the Fourth Proportional to 10,124.97, 13,975.43 and 6,401.13

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Solution

The fourth proportional to 10,124.97, 13,975.43 and 6,401.13 is: 8,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.97 : 13,975.43 = 6,401.13 : x
  2. Step 2: Convert to fraction form
    10,124.97/13,975.43 = 6,401.13/x
  3. Step 3: Cross multiply
    10,124.97x = 13,975.43 × 6,401.13
  4. Step 4: Simplify right side
    10,124.97x = 89,458,512.23
  5. Step 5: Solve for x
    x = 89,458,512.23/10,124.97
  6. Step 6: Final answer
    x = 8,835.43

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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.