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Finding the Fourth Proportional to 8,406.94, 11,604.74 and 6,609.74

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Solution

The fourth proportional to 8,406.94, 11,604.74 and 6,609.74 is: 9,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.94 : 11,604.74 = 6,609.74 : x
  2. Step 2: Convert to fraction form
    8,406.94/11,604.74 = 6,609.74/x
  3. Step 3: Cross multiply
    8,406.94x = 11,604.74 × 6,609.74
  4. Step 4: Simplify right side
    8,406.94x = 76,704,314.17
  5. Step 5: Solve for x
    x = 76,704,314.17/8,406.94
  6. Step 6: Final answer
    x = 9,123.93

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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.