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Finding the Fourth Proportional to 7,817.12, 11,730.48 and 3,200

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Solution

The fourth proportional to 7,817.12, 11,730.48 and 3,200 is: 4,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.12 : 11,730.48 = 3,200 : x
  2. Step 2: Convert to fraction form
    7,817.12/11,730.48 = 3,200/x
  3. Step 3: Cross multiply
    7,817.12x = 11,730.48 × 3,200
  4. Step 4: Simplify right side
    7,817.12x = 37,537,536
  5. Step 5: Solve for x
    x = 37,537,536/7,817.12
  6. Step 6: Final answer
    x = 4,801.96

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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.