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Finding the Fourth Proportional to 13,700.38, 18,906.50 and 7,412.74

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Solution

The fourth proportional to 13,700.38, 18,906.50 and 7,412.74 is: 10,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.38 : 18,906.50 = 7,412.74 : x
  2. Step 2: Convert to fraction form
    13,700.38/18,906.50 = 7,412.74/x
  3. Step 3: Cross multiply
    13,700.38x = 18,906.50 × 7,412.74
  4. Step 4: Simplify right side
    13,700.38x = 140,148,968.81
  5. Step 5: Solve for x
    x = 140,148,968.81/13,700.38
  6. Step 6: Final answer
    x = 10,229.57

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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.