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Finding the Fourth Proportional to 2,784, 4,176.42 and 836.16

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Solution

The fourth proportional to 2,784, 4,176.42 and 836.16 is: 1,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784 : 4,176.42 = 836.16 : x
  2. Step 2: Convert to fraction form
    2,784/4,176.42 = 836.16/x
  3. Step 3: Cross multiply
    2,784x = 4,176.42 × 836.16
  4. Step 4: Simplify right side
    2,784x = 3,492,155.35
  5. Step 5: Solve for x
    x = 3,492,155.35/2,784
  6. Step 6: Final answer
    x = 1,254.37

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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.