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Finding the Fourth Proportional to 13,700.54, 18,906.83 and 7,732.46

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Solution

The fourth proportional to 13,700.54, 18,906.83 and 7,732.46 is: 10,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.54 : 18,906.83 = 7,732.46 : x
  2. Step 2: Convert to fraction form
    13,700.54/18,906.83 = 7,732.46/x
  3. Step 3: Cross multiply
    13,700.54x = 18,906.83 × 7,732.46
  4. Step 4: Simplify right side
    13,700.54x = 146,196,306.70
  5. Step 5: Solve for x
    x = 146,196,306.70/13,700.54
  6. Step 6: Final answer
    x = 10,670.84

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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.