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Finding the Fourth Proportional to 9,289.13, 12,819.83 and 5,098.19

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Solution

The fourth proportional to 9,289.13, 12,819.83 and 5,098.19 is: 7,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.13 : 12,819.83 = 5,098.19 : x
  2. Step 2: Convert to fraction form
    9,289.13/12,819.83 = 5,098.19/x
  3. Step 3: Cross multiply
    9,289.13x = 12,819.83 × 5,098.19
  4. Step 4: Simplify right side
    9,289.13x = 65,357,839.52
  5. Step 5: Solve for x
    x = 65,357,839.52/9,289.13
  6. Step 6: Final answer
    x = 7,035.95

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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.