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Finding the Fourth Proportional to 12,338.52, 18,507.78 and 7,141.56

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Solution

The fourth proportional to 12,338.52, 18,507.78 and 7,141.56 is: 10,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.52 : 18,507.78 = 7,141.56 : x
  2. Step 2: Convert to fraction form
    12,338.52/18,507.78 = 7,141.56/x
  3. Step 3: Cross multiply
    12,338.52x = 18,507.78 × 7,141.56
  4. Step 4: Simplify right side
    12,338.52x = 132,174,421.34
  5. Step 5: Solve for x
    x = 132,174,421.34/12,338.52
  6. Step 6: Final answer
    x = 10,712.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.