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Finding the Fourth Proportional to 7,692.40, 11,534.80 and 2,497.60

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Solution

The fourth proportional to 7,692.40, 11,534.80 and 2,497.60 is: 3,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.40 : 11,534.80 = 2,497.60 : x
  2. Step 2: Convert to fraction form
    7,692.40/11,534.80 = 2,497.60/x
  3. Step 3: Cross multiply
    7,692.40x = 11,534.80 × 2,497.60
  4. Step 4: Simplify right side
    7,692.40x = 28,809,316.48
  5. Step 5: Solve for x
    x = 28,809,316.48/7,692.40
  6. Step 6: Final answer
    x = 3,745.17

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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.