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Finding the Fourth Proportional to 13,378.97, 20,068.46 and 4,613.20

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Solution

The fourth proportional to 13,378.97, 20,068.46 and 4,613.20 is: 6,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.97 : 20,068.46 = 4,613.20 : x
  2. Step 2: Convert to fraction form
    13,378.97/20,068.46 = 4,613.20/x
  3. Step 3: Cross multiply
    13,378.97x = 20,068.46 × 4,613.20
  4. Step 4: Simplify right side
    13,378.97x = 92,579,876.62
  5. Step 5: Solve for x
    x = 92,579,876.62/13,378.97
  6. Step 6: Final answer
    x = 6,919.80

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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.