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Finding the Fourth Proportional to 38,154.40, 57,228.40 and 11,858.72

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Solution

The fourth proportional to 38,154.40, 57,228.40 and 11,858.72 is: 17,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154.40 : 57,228.40 = 11,858.72 : x
  2. Step 2: Convert to fraction form
    38,154.40/57,228.40 = 11,858.72/x
  3. Step 3: Cross multiply
    38,154.40x = 57,228.40 × 11,858.72
  4. Step 4: Simplify right side
    38,154.40x = 678,655,571.65
  5. Step 5: Solve for x
    x = 678,655,571.65/38,154.40
  6. Step 6: Final answer
    x = 17,787.09

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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.