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Finding the Fourth Proportional to 14,696.17, 20,280.64 and 7,981.75

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Solution

The fourth proportional to 14,696.17, 20,280.64 and 7,981.75 is: 11,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.17 : 20,280.64 = 7,981.75 : x
  2. Step 2: Convert to fraction form
    14,696.17/20,280.64 = 7,981.75/x
  3. Step 3: Cross multiply
    14,696.17x = 20,280.64 × 7,981.75
  4. Step 4: Simplify right side
    14,696.17x = 161,874,998.32
  5. Step 5: Solve for x
    x = 161,874,998.32/14,696.17
  6. Step 6: Final answer
    x = 11,014.77

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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.