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Finding the Fourth Proportional to 7,190.52, 9,919.71 and 5,869.68

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Solution

The fourth proportional to 7,190.52, 9,919.71 and 5,869.68 is: 8,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.52 : 9,919.71 = 5,869.68 : x
  2. Step 2: Convert to fraction form
    7,190.52/9,919.71 = 5,869.68/x
  3. Step 3: Cross multiply
    7,190.52x = 9,919.71 × 5,869.68
  4. Step 4: Simplify right side
    7,190.52x = 58,225,523.39
  5. Step 5: Solve for x
    x = 58,225,523.39/7,190.52
  6. Step 6: Final answer
    x = 8,097.54

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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.