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Finding the Fourth Proportional to 13,812.98, 20,737.53 and 8,200.89

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Solution

The fourth proportional to 13,812.98, 20,737.53 and 8,200.89 is: 12,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.98 : 20,737.53 = 8,200.89 : x
  2. Step 2: Convert to fraction form
    13,812.98/20,737.53 = 8,200.89/x
  3. Step 3: Cross multiply
    13,812.98x = 20,737.53 × 8,200.89
  4. Step 4: Simplify right side
    13,812.98x = 170,066,202.40
  5. Step 5: Solve for x
    x = 170,066,202.40/13,812.98
  6. Step 6: Final answer
    x = 12,312.06

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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.