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Finding the Fourth Proportional to 13,793.57, 19,035.14 and 7,742.97

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Solution

The fourth proportional to 13,793.57, 19,035.14 and 7,742.97 is: 10,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.57 : 19,035.14 = 7,742.97 : x
  2. Step 2: Convert to fraction form
    13,793.57/19,035.14 = 7,742.97/x
  3. Step 3: Cross multiply
    13,793.57x = 19,035.14 × 7,742.97
  4. Step 4: Simplify right side
    13,793.57x = 147,388,425.71
  5. Step 5: Solve for x
    x = 147,388,425.71/13,793.57
  6. Step 6: Final answer
    x = 10,685.30

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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.