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Finding the Fourth Proportional to 14,138.40, 21,207.60 and 8,225.40

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Solution

The fourth proportional to 14,138.40, 21,207.60 and 8,225.40 is: 12,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.40 : 21,207.60 = 8,225.40 : x
  2. Step 2: Convert to fraction form
    14,138.40/21,207.60 = 8,225.40/x
  3. Step 3: Cross multiply
    14,138.40x = 21,207.60 × 8,225.40
  4. Step 4: Simplify right side
    14,138.40x = 174,440,993.04
  5. Step 5: Solve for x
    x = 174,440,993.04/14,138.40
  6. Step 6: Final answer
    x = 12,338.10

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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.