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Finding the Fourth Proportional to 7,692.89, 11,539.32 and 2,498.75

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Solution

The fourth proportional to 7,692.89, 11,539.32 and 2,498.75 is: 3,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.89 : 11,539.32 = 2,498.75 : x
  2. Step 2: Convert to fraction form
    7,692.89/11,539.32 = 2,498.75/x
  3. Step 3: Cross multiply
    7,692.89x = 11,539.32 × 2,498.75
  4. Step 4: Simplify right side
    7,692.89x = 28,833,875.85
  5. Step 5: Solve for x
    x = 28,833,875.85/7,692.89
  6. Step 6: Final answer
    x = 3,748.12

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