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Finding the Fourth Proportional to 8,291.86, 12,437.79 and 6,827.94

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Solution

The fourth proportional to 8,291.86, 12,437.79 and 6,827.94 is: 10,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.86 : 12,437.79 = 6,827.94 : x
  2. Step 2: Convert to fraction form
    8,291.86/12,437.79 = 6,827.94/x
  3. Step 3: Cross multiply
    8,291.86x = 12,437.79 × 6,827.94
  4. Step 4: Simplify right side
    8,291.86x = 84,924,483.85
  5. Step 5: Solve for x
    x = 84,924,483.85/8,291.86
  6. Step 6: Final answer
    x = 10,241.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.