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Finding the Fourth Proportional to 13,712.82, 18,923.78 and 7,425.20

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Solution

The fourth proportional to 13,712.82, 18,923.78 and 7,425.20 is: 10,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.82 : 18,923.78 = 7,425.20 : x
  2. Step 2: Convert to fraction form
    13,712.82/18,923.78 = 7,425.20/x
  3. Step 3: Cross multiply
    13,712.82x = 18,923.78 × 7,425.20
  4. Step 4: Simplify right side
    13,712.82x = 140,512,719.51
  5. Step 5: Solve for x
    x = 140,512,719.51/13,712.82
  6. Step 6: Final answer
    x = 10,246.81

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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.