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Finding the Fourth Proportional to 7,692.59, 11,539.75 and 2,428.35

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Solution

The fourth proportional to 7,692.59, 11,539.75 and 2,428.35 is: 3,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.59 : 11,539.75 = 2,428.35 : x
  2. Step 2: Convert to fraction form
    7,692.59/11,539.75 = 2,428.35/x
  3. Step 3: Cross multiply
    7,692.59x = 11,539.75 × 2,428.35
  4. Step 4: Simplify right side
    7,692.59x = 28,022,551.91
  5. Step 5: Solve for x
    x = 28,022,551.91/7,692.59
  6. Step 6: Final answer
    x = 3,642.80

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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.