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Finding the Fourth Proportional to 8,585.40, 11,846.94 and 6,821.40

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Solution

The fourth proportional to 8,585.40, 11,846.94 and 6,821.40 is: 9,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.40 : 11,846.94 = 6,821.40 : x
  2. Step 2: Convert to fraction form
    8,585.40/11,846.94 = 6,821.40/x
  3. Step 3: Cross multiply
    8,585.40x = 11,846.94 × 6,821.40
  4. Step 4: Simplify right side
    8,585.40x = 80,812,716.52
  5. Step 5: Solve for x
    x = 80,812,716.52/8,585.40
  6. Step 6: Final answer
    x = 9,412.81

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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.