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Finding the Fourth Proportional to 8,482.32, 12,718.62 and 2,934.09

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Solution

The fourth proportional to 8,482.32, 12,718.62 and 2,934.09 is: 4,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.32 : 12,718.62 = 2,934.09 : x
  2. Step 2: Convert to fraction form
    8,482.32/12,718.62 = 2,934.09/x
  3. Step 3: Cross multiply
    8,482.32x = 12,718.62 × 2,934.09
  4. Step 4: Simplify right side
    8,482.32x = 37,317,575.76
  5. Step 5: Solve for x
    x = 37,317,575.76/8,482.32
  6. Step 6: Final answer
    x = 4,399.45

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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.