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Finding the Fourth Proportional to 13,144.92, 18,138.90 and 7,478.16

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Solution

The fourth proportional to 13,144.92, 18,138.90 and 7,478.16 is: 10,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.92 : 18,138.90 = 7,478.16 : x
  2. Step 2: Convert to fraction form
    13,144.92/18,138.90 = 7,478.16/x
  3. Step 3: Cross multiply
    13,144.92x = 18,138.90 × 7,478.16
  4. Step 4: Simplify right side
    13,144.92x = 135,645,596.42
  5. Step 5: Solve for x
    x = 135,645,596.42/13,144.92
  6. Step 6: Final answer
    x = 10,319.24

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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.