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Finding the Fourth Proportional to 13,988.87, 20,982.63 and 5,223.10

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Solution

The fourth proportional to 13,988.87, 20,982.63 and 5,223.10 is: 7,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.87 : 20,982.63 = 5,223.10 : x
  2. Step 2: Convert to fraction form
    13,988.87/20,982.63 = 5,223.10/x
  3. Step 3: Cross multiply
    13,988.87x = 20,982.63 × 5,223.10
  4. Step 4: Simplify right side
    13,988.87x = 109,594,348.64
  5. Step 5: Solve for x
    x = 109,594,348.64/13,988.87
  6. Step 6: Final answer
    x = 7,834.40

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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.