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Finding the Fourth Proportional to 31,855.68, 47,785.68 and 8,482.32

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Solution

The fourth proportional to 31,855.68, 47,785.68 and 8,482.32 is: 12,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.68 : 47,785.68 = 8,482.32 : x
  2. Step 2: Convert to fraction form
    31,855.68/47,785.68 = 8,482.32/x
  3. Step 3: Cross multiply
    31,855.68x = 47,785.68 × 8,482.32
  4. Step 4: Simplify right side
    31,855.68x = 405,333,429.18
  5. Step 5: Solve for x
    x = 405,333,429.18/31,855.68
  6. Step 6: Final answer
    x = 12,724.06

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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.