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Finding the Fourth Proportional to 14,696.50, 20,280.61 and 7,981.99

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Solution

The fourth proportional to 14,696.50, 20,280.61 and 7,981.99 is: 11,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.50 : 20,280.61 = 7,981.99 : x
  2. Step 2: Convert to fraction form
    14,696.50/20,280.61 = 7,981.99/x
  3. Step 3: Cross multiply
    14,696.50x = 20,280.61 × 7,981.99
  4. Step 4: Simplify right side
    14,696.50x = 161,879,626.21
  5. Step 5: Solve for x
    x = 161,879,626.21/14,696.50
  6. Step 6: Final answer
    x = 11,014.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.