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Finding the Fourth Proportional to 13,988.70, 20,964.42 and 5,214.78

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Solution

The fourth proportional to 13,988.70, 20,964.42 and 5,214.78 is: 7,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.70 : 20,964.42 = 5,214.78 : x
  2. Step 2: Convert to fraction form
    13,988.70/20,964.42 = 5,214.78/x
  3. Step 3: Cross multiply
    13,988.70x = 20,964.42 × 5,214.78
  4. Step 4: Simplify right side
    13,988.70x = 109,324,838.13
  5. Step 5: Solve for x
    x = 109,324,838.13/13,988.70
  6. Step 6: Final answer
    x = 7,815.23

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1.5x scale

Why These Related Problems?

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