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Finding the Fourth Proportional to 8,269.86, 12,354.54 and 5,911.14

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Solution

The fourth proportional to 8,269.86, 12,354.54 and 5,911.14 is: 8,830.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.86 : 12,354.54 = 5,911.14 : x
  2. Step 2: Convert to fraction form
    8,269.86/12,354.54 = 5,911.14/x
  3. Step 3: Cross multiply
    8,269.86x = 12,354.54 × 5,911.14
  4. Step 4: Simplify right side
    8,269.86x = 73,029,415.58
  5. Step 5: Solve for x
    x = 73,029,415.58/8,269.86
  6. Step 6: Final answer
    x = 8,830.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.