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Finding the Fourth Proportional to 8,466.68, 11,684.11 and 4,689.90

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Solution

The fourth proportional to 8,466.68, 11,684.11 and 4,689.90 is: 6,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.68 : 11,684.11 = 4,689.90 : x
  2. Step 2: Convert to fraction form
    8,466.68/11,684.11 = 4,689.90/x
  3. Step 3: Cross multiply
    8,466.68x = 11,684.11 × 4,689.90
  4. Step 4: Simplify right side
    8,466.68x = 54,797,370.32
  5. Step 5: Solve for x
    x = 54,797,370.32/8,466.68
  6. Step 6: Final answer
    x = 6,472.12

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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.