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Finding the Fourth Proportional to 14,915.14, 20,582.48 and 8,200.78

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Solution

The fourth proportional to 14,915.14, 20,582.48 and 8,200.78 is: 11,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.14 : 20,582.48 = 8,200.78 : x
  2. Step 2: Convert to fraction form
    14,915.14/20,582.48 = 8,200.78/x
  3. Step 3: Cross multiply
    14,915.14x = 20,582.48 × 8,200.78
  4. Step 4: Simplify right side
    14,915.14x = 168,792,390.33
  5. Step 5: Solve for x
    x = 168,792,390.33/14,915.14
  6. Step 6: Final answer
    x = 11,316.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.