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Finding the Fourth Proportional to 11,097.84, 16,615.92 and 7,190.40

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Solution

The fourth proportional to 11,097.84, 16,615.92 and 7,190.40 is: 10,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.84 : 16,615.92 = 7,190.40 : x
  2. Step 2: Convert to fraction form
    11,097.84/16,615.92 = 7,190.40/x
  3. Step 3: Cross multiply
    11,097.84x = 16,615.92 × 7,190.40
  4. Step 4: Simplify right side
    11,097.84x = 119,475,111.17
  5. Step 5: Solve for x
    x = 119,475,111.17/11,097.84
  6. Step 6: Final answer
    x = 10,765.62

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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.