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Finding the Fourth Proportional to 14,517.76, 21,730.56 and 10,401.28

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Solution

The fourth proportional to 14,517.76, 21,730.56 and 10,401.28 is: 15,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.76 : 21,730.56 = 10,401.28 : x
  2. Step 2: Convert to fraction form
    14,517.76/21,730.56 = 10,401.28/x
  3. Step 3: Cross multiply
    14,517.76x = 21,730.56 × 10,401.28
  4. Step 4: Simplify right side
    14,517.76x = 226,025,639.12
  5. Step 5: Solve for x
    x = 226,025,639.12/14,517.76
  6. Step 6: Final answer
    x = 15,568.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.