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Finding the Fourth Proportional to 8,141.65, 12,214.40 and 6,482.05

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Solution

The fourth proportional to 8,141.65, 12,214.40 and 6,482.05 is: 9,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.65 : 12,214.40 = 6,482.05 : x
  2. Step 2: Convert to fraction form
    8,141.65/12,214.40 = 6,482.05/x
  3. Step 3: Cross multiply
    8,141.65x = 12,214.40 × 6,482.05
  4. Step 4: Simplify right side
    8,141.65x = 79,174,351.52
  5. Step 5: Solve for x
    x = 79,174,351.52/8,141.65
  6. Step 6: Final answer
    x = 9,724.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.