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Finding the Fourth Proportional to 9,378.99, 12,949.52 and 5,843.79

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Solution

The fourth proportional to 9,378.99, 12,949.52 and 5,843.79 is: 8,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.99 : 12,949.52 = 5,843.79 : x
  2. Step 2: Convert to fraction form
    9,378.99/12,949.52 = 5,843.79/x
  3. Step 3: Cross multiply
    9,378.99x = 12,949.52 × 5,843.79
  4. Step 4: Simplify right side
    9,378.99x = 75,674,246.26
  5. Step 5: Solve for x
    x = 75,674,246.26/9,378.99
  6. Step 6: Final answer
    x = 8,068.49

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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.