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Finding the Fourth Proportional to 2,784.42, 4,177.27 and 836.66

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Solution

The fourth proportional to 2,784.42, 4,177.27 and 836.66 is: 1,255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.42 : 4,177.27 = 836.66 : x
  2. Step 2: Convert to fraction form
    2,784.42/4,177.27 = 836.66/x
  3. Step 3: Cross multiply
    2,784.42x = 4,177.27 × 836.66
  4. Step 4: Simplify right side
    2,784.42x = 3,494,954.72
  5. Step 5: Solve for x
    x = 3,494,954.72/2,784.42
  6. Step 6: Final answer
    x = 1,255.18

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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.