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Finding the Fourth Proportional to 7,404.61, 10,204.23 and 5,305.09

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Solution

The fourth proportional to 7,404.61, 10,204.23 and 5,305.09 is: 7,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.61 : 10,204.23 = 5,305.09 : x
  2. Step 2: Convert to fraction form
    7,404.61/10,204.23 = 5,305.09/x
  3. Step 3: Cross multiply
    7,404.61x = 10,204.23 × 5,305.09
  4. Step 4: Simplify right side
    7,404.61x = 54,134,358.53
  5. Step 5: Solve for x
    x = 54,134,358.53/7,404.61
  6. Step 6: Final answer
    x = 7,310.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.