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Finding the Fourth Proportional to 13,226.16, 18,245.16 and 7,919.40

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Solution

The fourth proportional to 13,226.16, 18,245.16 and 7,919.40 is: 10,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.16 : 18,245.16 = 7,919.40 : x
  2. Step 2: Convert to fraction form
    13,226.16/18,245.16 = 7,919.40/x
  3. Step 3: Cross multiply
    13,226.16x = 18,245.16 × 7,919.40
  4. Step 4: Simplify right side
    13,226.16x = 144,490,720.10
  5. Step 5: Solve for x
    x = 144,490,720.10/13,226.16
  6. Step 6: Final answer
    x = 10,924.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.