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Finding the Fourth Proportional to 10,143.54, 13,985.34 and 7,756.44

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Solution

The fourth proportional to 10,143.54, 13,985.34 and 7,756.44 is: 10,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.54 : 13,985.34 = 7,756.44 : x
  2. Step 2: Convert to fraction form
    10,143.54/13,985.34 = 7,756.44/x
  3. Step 3: Cross multiply
    10,143.54x = 13,985.34 × 7,756.44
  4. Step 4: Simplify right side
    10,143.54x = 108,476,450.59
  5. Step 5: Solve for x
    x = 108,476,450.59/10,143.54
  6. Step 6: Final answer
    x = 10,694.14

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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.