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Finding the Fourth Proportional to 8,354.89, 11,523.21 and 5,371

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Solution

The fourth proportional to 8,354.89, 11,523.21 and 5,371 is: 7,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.89 : 11,523.21 = 5,371 : x
  2. Step 2: Convert to fraction form
    8,354.89/11,523.21 = 5,371/x
  3. Step 3: Cross multiply
    8,354.89x = 11,523.21 × 5,371
  4. Step 4: Simplify right side
    8,354.89x = 61,891,160.91
  5. Step 5: Solve for x
    x = 61,891,160.91/8,354.89
  6. Step 6: Final answer
    x = 7,407.78

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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.