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Finding the Fourth Proportional to 10,584, 15,876 and 2,792.88

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Solution

The fourth proportional to 10,584, 15,876 and 2,792.88 is: 4,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 15,876 = 2,792.88 : x
  2. Step 2: Convert to fraction form
    10,584/15,876 = 2,792.88/x
  3. Step 3: Cross multiply
    10,584x = 15,876 × 2,792.88
  4. Step 4: Simplify right side
    10,584x = 44,339,762.88
  5. Step 5: Solve for x
    x = 44,339,762.88/10,584
  6. Step 6: Final answer
    x = 4,189.32

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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.