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Finding the Fourth Proportional to 8,446.69, 11,658.90 and 4,911.31

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Solution

The fourth proportional to 8,446.69, 11,658.90 and 4,911.31 is: 6,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.69 : 11,658.90 = 4,911.31 : x
  2. Step 2: Convert to fraction form
    8,446.69/11,658.90 = 4,911.31/x
  3. Step 3: Cross multiply
    8,446.69x = 11,658.90 × 4,911.31
  4. Step 4: Simplify right side
    8,446.69x = 57,260,472.16
  5. Step 5: Solve for x
    x = 57,260,472.16/8,446.69
  6. Step 6: Final answer
    x = 6,779.04

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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.