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Finding the Fourth Proportional to 2,784, 4,176.14 and 1,052.76

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Solution

The fourth proportional to 2,784, 4,176.14 and 1,052.76 is: 1,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784 : 4,176.14 = 1,052.76 : x
  2. Step 2: Convert to fraction form
    2,784/4,176.14 = 1,052.76/x
  3. Step 3: Cross multiply
    2,784x = 4,176.14 × 1,052.76
  4. Step 4: Simplify right side
    2,784x = 4,396,467.88
  5. Step 5: Solve for x
    x = 4,396,467.88/2,784
  6. Step 6: Final answer
    x = 1,579.19

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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.