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Finding the Fourth Proportional to 2,783.85, 4,176.20 and 836.21

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Solution

The fourth proportional to 2,783.85, 4,176.20 and 836.21 is: 1,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.85 : 4,176.20 = 836.21 : x
  2. Step 2: Convert to fraction form
    2,783.85/4,176.20 = 836.21/x
  3. Step 3: Cross multiply
    2,783.85x = 4,176.20 × 836.21
  4. Step 4: Simplify right side
    2,783.85x = 3,492,155.14
  5. Step 5: Solve for x
    x = 3,492,155.14/2,783.85
  6. Step 6: Final answer
    x = 1,254.43

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1.5x scale

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.