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Finding the Fourth Proportional to 21,692.80, 32,517.60 and 9,985.60

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Solution

The fourth proportional to 21,692.80, 32,517.60 and 9,985.60 is: 14,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.80 : 32,517.60 = 9,985.60 : x
  2. Step 2: Convert to fraction form
    21,692.80/32,517.60 = 9,985.60/x
  3. Step 3: Cross multiply
    21,692.80x = 32,517.60 × 9,985.60
  4. Step 4: Simplify right side
    21,692.80x = 324,707,746.56
  5. Step 5: Solve for x
    x = 324,707,746.56/21,692.80
  6. Step 6: Final answer
    x = 14,968.46

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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.