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Finding the Fourth Proportional to 8,697.94, 12,009.21 and 6,705.22

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Solution

The fourth proportional to 8,697.94, 12,009.21 and 6,705.22 is: 9,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.94 : 12,009.21 = 6,705.22 : x
  2. Step 2: Convert to fraction form
    8,697.94/12,009.21 = 6,705.22/x
  3. Step 3: Cross multiply
    8,697.94x = 12,009.21 × 6,705.22
  4. Step 4: Simplify right side
    8,697.94x = 80,524,395.08
  5. Step 5: Solve for x
    x = 80,524,395.08/8,697.94
  6. Step 6: Final answer
    x = 9,257.87

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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.