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Finding the Fourth Proportional to 13,812.40, 20,706.90 and 5,042.20

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Solution

The fourth proportional to 13,812.40, 20,706.90 and 5,042.20 is: 7,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.40 : 20,706.90 = 5,042.20 : x
  2. Step 2: Convert to fraction form
    13,812.40/20,706.90 = 5,042.20/x
  3. Step 3: Cross multiply
    13,812.40x = 20,706.90 × 5,042.20
  4. Step 4: Simplify right side
    13,812.40x = 104,408,331.18
  5. Step 5: Solve for x
    x = 104,408,331.18/13,812.40
  6. Step 6: Final answer
    x = 7,559.03

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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.