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Finding the Fourth Proportional to 14,696.20, 20,280.80 and 7,981.94

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Solution

The fourth proportional to 14,696.20, 20,280.80 and 7,981.94 is: 11,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.20 : 20,280.80 = 7,981.94 : x
  2. Step 2: Convert to fraction form
    14,696.20/20,280.80 = 7,981.94/x
  3. Step 3: Cross multiply
    14,696.20x = 20,280.80 × 7,981.94
  4. Step 4: Simplify right side
    14,696.20x = 161,880,128.75
  5. Step 5: Solve for x
    x = 161,880,128.75/14,696.20
  6. Step 6: Final answer
    x = 11,015.10

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1.5x scale

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.