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Finding the Fourth Proportional to 9,192.14, 13,780.40 and 3,649.40

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Solution

The fourth proportional to 9,192.14, 13,780.40 and 3,649.40 is: 5,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.14 : 13,780.40 = 3,649.40 : x
  2. Step 2: Convert to fraction form
    9,192.14/13,780.40 = 3,649.40/x
  3. Step 3: Cross multiply
    9,192.14x = 13,780.40 × 3,649.40
  4. Step 4: Simplify right side
    9,192.14x = 50,290,191.76
  5. Step 5: Solve for x
    x = 50,290,191.76/9,192.14
  6. Step 6: Final answer
    x = 5,471.00

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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.