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Finding the Fourth Proportional to 38,286, 57,429 and 10,584

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Solution

The fourth proportional to 38,286, 57,429 and 10,584 is: 15,876

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286 : 57,429 = 10,584 : x
  2. Step 2: Convert to fraction form
    38,286/57,429 = 10,584/x
  3. Step 3: Cross multiply
    38,286x = 57,429 × 10,584
  4. Step 4: Simplify right side
    38,286x = 607,828,536
  5. Step 5: Solve for x
    x = 607,828,536/38,286
  6. Step 6: Final answer
    x = 15,876

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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.