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Finding the Fourth Proportional to 13,941.70, 20,912.55 and 8,412.10

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Solution

The fourth proportional to 13,941.70, 20,912.55 and 8,412.10 is: 12,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941.70 : 20,912.55 = 8,412.10 : x
  2. Step 2: Convert to fraction form
    13,941.70/20,912.55 = 8,412.10/x
  3. Step 3: Cross multiply
    13,941.70x = 20,912.55 × 8,412.10
  4. Step 4: Simplify right side
    13,941.70x = 175,918,461.86
  5. Step 5: Solve for x
    x = 175,918,461.86/13,941.70
  6. Step 6: Final answer
    x = 12,618.15

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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.