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Finding the Fourth Proportional to 10,130.40, 15,194.08 and 3,204

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Solution

The fourth proportional to 10,130.40, 15,194.08 and 3,204 is: 4,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.40 : 15,194.08 = 3,204 : x
  2. Step 2: Convert to fraction form
    10,130.40/15,194.08 = 3,204/x
  3. Step 3: Cross multiply
    10,130.40x = 15,194.08 × 3,204
  4. Step 4: Simplify right side
    10,130.40x = 48,681,832.32
  5. Step 5: Solve for x
    x = 48,681,832.32/10,130.40
  6. Step 6: Final answer
    x = 4,805.52

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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.