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Finding the Fourth Proportional to 9,288.33, 13,930.53 and 3,049.08

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Solution

The fourth proportional to 9,288.33, 13,930.53 and 3,049.08 is: 4,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.33 : 13,930.53 = 3,049.08 : x
  2. Step 2: Convert to fraction form
    9,288.33/13,930.53 = 3,049.08/x
  3. Step 3: Cross multiply
    9,288.33x = 13,930.53 × 3,049.08
  4. Step 4: Simplify right side
    9,288.33x = 42,475,300.41
  5. Step 5: Solve for x
    x = 42,475,300.41/9,288.33
  6. Step 6: Final answer
    x = 4,572.97

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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.