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Finding the Fourth Proportional to 10,584, 15,876 and 3,658.50

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Solution

The fourth proportional to 10,584, 15,876 and 3,658.50 is: 5,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 15,876 = 3,658.50 : x
  2. Step 2: Convert to fraction form
    10,584/15,876 = 3,658.50/x
  3. Step 3: Cross multiply
    10,584x = 15,876 × 3,658.50
  4. Step 4: Simplify right side
    10,584x = 58,082,346
  5. Step 5: Solve for x
    x = 58,082,346/10,584
  6. Step 6: Final answer
    x = 5,487.75

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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.