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Finding the Fourth Proportional to 18,357, 27,535.58 and 7,413

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Solution

The fourth proportional to 18,357, 27,535.58 and 7,413 is: 11,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357 : 27,535.58 = 7,413 : x
  2. Step 2: Convert to fraction form
    18,357/27,535.58 = 7,413/x
  3. Step 3: Cross multiply
    18,357x = 27,535.58 × 7,413
  4. Step 4: Simplify right side
    18,357x = 204,121,254.54
  5. Step 5: Solve for x
    x = 204,121,254.54/18,357
  6. Step 6: Final answer
    x = 11,119.53

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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.