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Finding the Fourth Proportional to 12,459.60, 18,692.14 and 3,693.98

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Solution

The fourth proportional to 12,459.60, 18,692.14 and 3,693.98 is: 5,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459.60 : 18,692.14 = 3,693.98 : x
  2. Step 2: Convert to fraction form
    12,459.60/18,692.14 = 3,693.98/x
  3. Step 3: Cross multiply
    12,459.60x = 18,692.14 × 3,693.98
  4. Step 4: Simplify right side
    12,459.60x = 69,048,391.32
  5. Step 5: Solve for x
    x = 69,048,391.32/12,459.60
  6. Step 6: Final answer
    x = 5,541.78

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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.