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Finding the Fourth Proportional to 14,792.84, 20,414.28 and 8,078.54

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Solution

The fourth proportional to 14,792.84, 20,414.28 and 8,078.54 is: 11,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.84 : 20,414.28 = 8,078.54 : x
  2. Step 2: Convert to fraction form
    14,792.84/20,414.28 = 8,078.54/x
  3. Step 3: Cross multiply
    14,792.84x = 20,414.28 × 8,078.54
  4. Step 4: Simplify right side
    14,792.84x = 164,917,577.55
  5. Step 5: Solve for x
    x = 164,917,577.55/14,792.84
  6. Step 6: Final answer
    x = 11,148.48

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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.