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Finding the Fourth Proportional to 14,383.61, 19,850.72 and 8,414.90

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Solution

The fourth proportional to 14,383.61, 19,850.72 and 8,414.90 is: 11,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.61 : 19,850.72 = 8,414.90 : x
  2. Step 2: Convert to fraction form
    14,383.61/19,850.72 = 8,414.90/x
  3. Step 3: Cross multiply
    14,383.61x = 19,850.72 × 8,414.90
  4. Step 4: Simplify right side
    14,383.61x = 167,041,682.40
  5. Step 5: Solve for x
    x = 167,041,682.40/14,383.61
  6. Step 6: Final answer
    x = 11,613.34

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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.