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Finding the Fourth Proportional to 9,240, 13,865.76 and 3,768

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Solution

The fourth proportional to 9,240, 13,865.76 and 3,768 is: 5,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240 : 13,865.76 = 3,768 : x
  2. Step 2: Convert to fraction form
    9,240/13,865.76 = 3,768/x
  3. Step 3: Cross multiply
    9,240x = 13,865.76 × 3,768
  4. Step 4: Simplify right side
    9,240x = 52,246,183.68
  5. Step 5: Solve for x
    x = 52,246,183.68/9,240
  6. Step 6: Final answer
    x = 5,654.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.