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Finding the Fourth Proportional to 7,692.67, 10,615.89 and 4,155.88

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Solution

The fourth proportional to 7,692.67, 10,615.89 and 4,155.88 is: 5,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.67 : 10,615.89 = 4,155.88 : x
  2. Step 2: Convert to fraction form
    7,692.67/10,615.89 = 4,155.88/x
  3. Step 3: Cross multiply
    7,692.67x = 10,615.89 × 4,155.88
  4. Step 4: Simplify right side
    7,692.67x = 44,118,364.93
  5. Step 5: Solve for x
    x = 44,118,364.93/7,692.67
  6. Step 6: Final answer
    x = 5,735.12

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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.